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Finding the Fourth Proportional to 10,179.95, 15,241.17 and 6,473

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Solution

The fourth proportional to 10,179.95, 15,241.17 and 6,473 is: 9,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.95 : 15,241.17 = 6,473 : x
  2. Step 2: Convert to fraction form
    10,179.95/15,241.17 = 6,473/x
  3. Step 3: Cross multiply
    10,179.95x = 15,241.17 × 6,473
  4. Step 4: Simplify right side
    10,179.95x = 98,656,093.41
  5. Step 5: Solve for x
    x = 98,656,093.41/10,179.95
  6. Step 6: Final answer
    x = 9,691.22

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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.