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Finding the Fourth Proportional to 10,494.80, 15,731.10 and 3,473

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Solution

The fourth proportional to 10,494.80, 15,731.10 and 3,473 is: 5,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.80 : 15,731.10 = 3,473 : x
  2. Step 2: Convert to fraction form
    10,494.80/15,731.10 = 3,473/x
  3. Step 3: Cross multiply
    10,494.80x = 15,731.10 × 3,473
  4. Step 4: Simplify right side
    10,494.80x = 54,634,110.30
  5. Step 5: Solve for x
    x = 54,634,110.30/10,494.80
  6. Step 6: Final answer
    x = 5,205.83

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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.