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Finding the Fourth Proportional to 10,407.91, 15,603.63 and 6,020.41

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Solution

The fourth proportional to 10,407.91, 15,603.63 and 6,020.41 is: 9,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.91 : 15,603.63 = 6,020.41 : x
  2. Step 2: Convert to fraction form
    10,407.91/15,603.63 = 6,020.41/x
  3. Step 3: Cross multiply
    10,407.91x = 15,603.63 × 6,020.41
  4. Step 4: Simplify right side
    10,407.91x = 93,940,250.09
  5. Step 5: Solve for x
    x = 93,940,250.09/10,407.91
  6. Step 6: Final answer
    x = 9,025.85

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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.