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Finding the Fourth Proportional to 6,098.70, 9,140.79 and 2,934.15

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Solution

The fourth proportional to 6,098.70, 9,140.79 and 2,934.15 is: 4,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.70 : 9,140.79 = 2,934.15 : x
  2. Step 2: Convert to fraction form
    6,098.70/9,140.79 = 2,934.15/x
  3. Step 3: Cross multiply
    6,098.70x = 9,140.79 × 2,934.15
  4. Step 4: Simplify right side
    6,098.70x = 26,820,448.98
  5. Step 5: Solve for x
    x = 26,820,448.98/6,098.70
  6. Step 6: Final answer
    x = 4,397.73

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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.