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Finding the Fourth Proportional to 15,137.85, 20,890.17 and 8,424.12

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Solution

The fourth proportional to 15,137.85, 20,890.17 and 8,424.12 is: 11,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.85 : 20,890.17 = 8,424.12 : x
  2. Step 2: Convert to fraction form
    15,137.85/20,890.17 = 8,424.12/x
  3. Step 3: Cross multiply
    15,137.85x = 20,890.17 × 8,424.12
  4. Step 4: Simplify right side
    15,137.85x = 175,981,298.90
  5. Step 5: Solve for x
    x = 175,981,298.90/15,137.85
  6. Step 6: Final answer
    x = 11,625.25

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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.