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Finding the Fourth Proportional to 9,901.10, 14,851.65 and 4,061.90

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Solution

The fourth proportional to 9,901.10, 14,851.65 and 4,061.90 is: 6,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.10 : 14,851.65 = 4,061.90 : x
  2. Step 2: Convert to fraction form
    9,901.10/14,851.65 = 4,061.90/x
  3. Step 3: Cross multiply
    9,901.10x = 14,851.65 × 4,061.90
  4. Step 4: Simplify right side
    9,901.10x = 60,325,917.14
  5. Step 5: Solve for x
    x = 60,325,917.14/9,901.10
  6. Step 6: Final answer
    x = 6,092.85

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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.