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Finding the Fourth Proportional to 10,584.71, 15,879.12 and 6,151.94

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Solution

The fourth proportional to 10,584.71, 15,879.12 and 6,151.94 is: 9,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.71 : 15,879.12 = 6,151.94 : x
  2. Step 2: Convert to fraction form
    10,584.71/15,879.12 = 6,151.94/x
  3. Step 3: Cross multiply
    10,584.71x = 15,879.12 × 6,151.94
  4. Step 4: Simplify right side
    10,584.71x = 97,687,393.49
  5. Step 5: Solve for x
    x = 97,687,393.49/10,584.71
  6. Step 6: Final answer
    x = 9,229.10

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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.