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Finding the Fourth Proportional to 6,482.43, 9,721.26 and 5,098.47

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Solution

The fourth proportional to 6,482.43, 9,721.26 and 5,098.47 is: 7,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.43 : 9,721.26 = 5,098.47 : x
  2. Step 2: Convert to fraction form
    6,482.43/9,721.26 = 5,098.47/x
  3. Step 3: Cross multiply
    6,482.43x = 9,721.26 × 5,098.47
  4. Step 4: Simplify right side
    6,482.43x = 49,563,552.47
  5. Step 5: Solve for x
    x = 49,563,552.47/6,482.43
  6. Step 6: Final answer
    x = 7,645.83

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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.