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Finding the Fourth Proportional to 12,042.14, 16,617.86 and 6,737.46

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Solution

The fourth proportional to 12,042.14, 16,617.86 and 6,737.46 is: 9,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.14 : 16,617.86 = 6,737.46 : x
  2. Step 2: Convert to fraction form
    12,042.14/16,617.86 = 6,737.46/x
  3. Step 3: Cross multiply
    12,042.14x = 16,617.86 × 6,737.46
  4. Step 4: Simplify right side
    12,042.14x = 111,962,167.04
  5. Step 5: Solve for x
    x = 111,962,167.04/12,042.14
  6. Step 6: Final answer
    x = 9,297.53

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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.