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Finding the Fourth Proportional to 6,354.28, 9,531.42 and 1,737.28

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Solution

The fourth proportional to 6,354.28, 9,531.42 and 1,737.28 is: 2,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.28 : 9,531.42 = 1,737.28 : x
  2. Step 2: Convert to fraction form
    6,354.28/9,531.42 = 1,737.28/x
  3. Step 3: Cross multiply
    6,354.28x = 9,531.42 × 1,737.28
  4. Step 4: Simplify right side
    6,354.28x = 16,558,760.51
  5. Step 5: Solve for x
    x = 16,558,760.51/6,354.28
  6. Step 6: Final answer
    x = 2,605.92

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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.