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Finding the Fourth Proportional to 15,214.50, 20,997.90 and 9,248.22

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Solution

The fourth proportional to 15,214.50, 20,997.90 and 9,248.22 is: 12,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.50 : 20,997.90 = 9,248.22 : x
  2. Step 2: Convert to fraction form
    15,214.50/20,997.90 = 9,248.22/x
  3. Step 3: Cross multiply
    15,214.50x = 20,997.90 × 9,248.22
  4. Step 4: Simplify right side
    15,214.50x = 194,193,198.74
  5. Step 5: Solve for x
    x = 194,193,198.74/15,214.50
  6. Step 6: Final answer
    x = 12,763.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.