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Finding the Fourth Proportional to 6,502.42, 9,753.60 and 1,572.04

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Solution

The fourth proportional to 6,502.42, 9,753.60 and 1,572.04 is: 2,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.42 : 9,753.60 = 1,572.04 : x
  2. Step 2: Convert to fraction form
    6,502.42/9,753.60 = 1,572.04/x
  3. Step 3: Cross multiply
    6,502.42x = 9,753.60 × 1,572.04
  4. Step 4: Simplify right side
    6,502.42x = 15,333,049.34
  5. Step 5: Solve for x
    x = 15,333,049.34/6,502.42
  6. Step 6: Final answer
    x = 2,358.05

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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.