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Finding the Fourth Proportional to 10,841.32, 16,223.10 and 9,385.48

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Solution

The fourth proportional to 10,841.32, 16,223.10 and 9,385.48 is: 14,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.32 : 16,223.10 = 9,385.48 : x
  2. Step 2: Convert to fraction form
    10,841.32/16,223.10 = 9,385.48/x
  3. Step 3: Cross multiply
    10,841.32x = 16,223.10 × 9,385.48
  4. Step 4: Simplify right side
    10,841.32x = 152,261,580.59
  5. Step 5: Solve for x
    x = 152,261,580.59/10,841.32
  6. Step 6: Final answer
    x = 14,044.56

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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.