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Finding the Fourth Proportional to 6,502.53, 9,753.77 and 1,572.16

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Solution

The fourth proportional to 6,502.53, 9,753.77 and 1,572.16 is: 2,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.53 : 9,753.77 = 1,572.16 : x
  2. Step 2: Convert to fraction form
    6,502.53/9,753.77 = 1,572.16/x
  3. Step 3: Cross multiply
    6,502.53x = 9,753.77 × 1,572.16
  4. Step 4: Simplify right side
    6,502.53x = 15,334,476.03
  5. Step 5: Solve for x
    x = 15,334,476.03/6,502.53
  6. Step 6: Final answer
    x = 2,358.23

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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.