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Finding the Fourth Proportional to 15,232.20, 22,842.90 and 6,916.20

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Solution

The fourth proportional to 15,232.20, 22,842.90 and 6,916.20 is: 10,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.20 : 22,842.90 = 6,916.20 : x
  2. Step 2: Convert to fraction form
    15,232.20/22,842.90 = 6,916.20/x
  3. Step 3: Cross multiply
    15,232.20x = 22,842.90 × 6,916.20
  4. Step 4: Simplify right side
    15,232.20x = 157,986,064.98
  5. Step 5: Solve for x
    x = 157,986,064.98/15,232.20
  6. Step 6: Final answer
    x = 10,371.85

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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.