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Finding the Fourth Proportional to 6,513.35, 9,770.04 and 1,583.00

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Solution

The fourth proportional to 6,513.35, 9,770.04 and 1,583.00 is: 2,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.35 : 9,770.04 = 1,583.00 : x
  2. Step 2: Convert to fraction form
    6,513.35/9,770.04 = 1,583.00/x
  3. Step 3: Cross multiply
    6,513.35x = 9,770.04 × 1,583.00
  4. Step 4: Simplify right side
    6,513.35x = 15,465,924.47
  5. Step 5: Solve for x
    x = 15,465,924.47/6,513.35
  6. Step 6: Final answer
    x = 2,374.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 6,514.35, 9,771.54 and 1,584
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.