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Finding the Fourth Proportional to 10,324.78, 14,250.27 and 6,132.22

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Solution

The fourth proportional to 10,324.78, 14,250.27 and 6,132.22 is: 8,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.78 : 14,250.27 = 6,132.22 : x
  2. Step 2: Convert to fraction form
    10,324.78/14,250.27 = 6,132.22/x
  3. Step 3: Cross multiply
    10,324.78x = 14,250.27 × 6,132.22
  4. Step 4: Simplify right side
    10,324.78x = 87,385,790.70
  5. Step 5: Solve for x
    x = 87,385,790.70/10,324.78
  6. Step 6: Final answer
    x = 8,463.70

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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.