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Finding the Fourth Proportional to 10,028.16, 15,042.24 and 8,059.86

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Solution

The fourth proportional to 10,028.16, 15,042.24 and 8,059.86 is: 12,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.16 : 15,042.24 = 8,059.86 : x
  2. Step 2: Convert to fraction form
    10,028.16/15,042.24 = 8,059.86/x
  3. Step 3: Cross multiply
    10,028.16x = 15,042.24 × 8,059.86
  4. Step 4: Simplify right side
    10,028.16x = 121,238,348.49
  5. Step 5: Solve for x
    x = 121,238,348.49/10,028.16
  6. Step 6: Final answer
    x = 12,089.79

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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.