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Finding the Fourth Proportional to 10,902.24, 16,347.24 and 5,343.66

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Solution

The fourth proportional to 10,902.24, 16,347.24 and 5,343.66 is: 8,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.24 : 16,347.24 = 5,343.66 : x
  2. Step 2: Convert to fraction form
    10,902.24/16,347.24 = 5,343.66/x
  3. Step 3: Cross multiply
    10,902.24x = 16,347.24 × 5,343.66
  4. Step 4: Simplify right side
    10,902.24x = 87,354,092.50
  5. Step 5: Solve for x
    x = 87,354,092.50/10,902.24
  6. Step 6: Final answer
    x = 8,012.49

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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.