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Finding the Fourth Proportional to 15,314.20, 22,965.90 and 6,998.20

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Solution

The fourth proportional to 15,314.20, 22,965.90 and 6,998.20 is: 10,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.20 : 22,965.90 = 6,998.20 : x
  2. Step 2: Convert to fraction form
    15,314.20/22,965.90 = 6,998.20/x
  3. Step 3: Cross multiply
    15,314.20x = 22,965.90 × 6,998.20
  4. Step 4: Simplify right side
    15,314.20x = 160,719,961.38
  5. Step 5: Solve for x
    x = 160,719,961.38/15,314.20
  6. Step 6: Final answer
    x = 10,494.83

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1.5x scale

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.