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Finding the Fourth Proportional to 10,498.97, 15,740.63 and 4,949.15

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Solution

The fourth proportional to 10,498.97, 15,740.63 and 4,949.15 is: 7,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.97 : 15,740.63 = 4,949.15 : x
  2. Step 2: Convert to fraction form
    10,498.97/15,740.63 = 4,949.15/x
  3. Step 3: Cross multiply
    10,498.97x = 15,740.63 × 4,949.15
  4. Step 4: Simplify right side
    10,498.97x = 77,902,742.62
  5. Step 5: Solve for x
    x = 77,902,742.62/10,498.97
  6. Step 6: Final answer
    x = 7,420.04

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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.