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Finding the Fourth Proportional to 6,502.55, 9,753.82 and 1,572.14

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Solution

The fourth proportional to 6,502.55, 9,753.82 and 1,572.14 is: 2,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.55 : 9,753.82 = 1,572.14 : x
  2. Step 2: Convert to fraction form
    6,502.55/9,753.82 = 1,572.14/x
  3. Step 3: Cross multiply
    6,502.55x = 9,753.82 × 1,572.14
  4. Step 4: Simplify right side
    6,502.55x = 15,334,391.03
  5. Step 5: Solve for x
    x = 15,334,391.03/6,502.55
  6. Step 6: Final answer
    x = 2,358.21

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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.