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Finding the Fourth Proportional to 6,513.91, 9,770.82 and 1,583.58

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Solution

The fourth proportional to 6,513.91, 9,770.82 and 1,583.58 is: 2,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.91 : 9,770.82 = 1,583.58 : x
  2. Step 2: Convert to fraction form
    6,513.91/9,770.82 = 1,583.58/x
  3. Step 3: Cross multiply
    6,513.91x = 9,770.82 × 1,583.58
  4. Step 4: Simplify right side
    6,513.91x = 15,472,875.14
  5. Step 5: Solve for x
    x = 15,472,875.14/6,513.91
  6. Step 6: Final answer
    x = 2,375.36

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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.