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Finding the Fourth Proportional to 6,513.67, 9,770.50 and 1,583.30

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Solution

The fourth proportional to 6,513.67, 9,770.50 and 1,583.30 is: 2,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.67 : 9,770.50 = 1,583.30 : x
  2. Step 2: Convert to fraction form
    6,513.67/9,770.50 = 1,583.30/x
  3. Step 3: Cross multiply
    6,513.67x = 9,770.50 × 1,583.30
  4. Step 4: Simplify right side
    6,513.67x = 15,469,583.80
  5. Step 5: Solve for x
    x = 15,469,583.80/6,513.67
  6. Step 6: Final answer
    x = 2,374.94

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Half scale
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Double scale
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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.