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Finding the Fourth Proportional to 15,229.26, 22,822.47 and 7,215.53

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Solution

The fourth proportional to 15,229.26, 22,822.47 and 7,215.53 is: 10,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.26 : 22,822.47 = 7,215.53 : x
  2. Step 2: Convert to fraction form
    15,229.26/22,822.47 = 7,215.53/x
  3. Step 3: Cross multiply
    15,229.26x = 22,822.47 × 7,215.53
  4. Step 4: Simplify right side
    15,229.26x = 164,676,102.85
  5. Step 5: Solve for x
    x = 164,676,102.85/15,229.26
  6. Step 6: Final answer
    x = 10,813.14

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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.