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Finding the Fourth Proportional to 12,342.88, 18,502.02 and 7,963.41

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Solution

The fourth proportional to 12,342.88, 18,502.02 and 7,963.41 is: 11,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.88 : 18,502.02 = 7,963.41 : x
  2. Step 2: Convert to fraction form
    12,342.88/18,502.02 = 7,963.41/x
  3. Step 3: Cross multiply
    12,342.88x = 18,502.02 × 7,963.41
  4. Step 4: Simplify right side
    12,342.88x = 147,339,240.47
  5. Step 5: Solve for x
    x = 147,339,240.47/12,342.88
  6. Step 6: Final answer
    x = 11,937.18

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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.