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Finding the Fourth Proportional to 12,648.62, 17,462.08 and 7,614.08

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Solution

The fourth proportional to 12,648.62, 17,462.08 and 7,614.08 is: 10,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.62 : 17,462.08 = 7,614.08 : x
  2. Step 2: Convert to fraction form
    12,648.62/17,462.08 = 7,614.08/x
  3. Step 3: Cross multiply
    12,648.62x = 17,462.08 × 7,614.08
  4. Step 4: Simplify right side
    12,648.62x = 132,957,661.78
  5. Step 5: Solve for x
    x = 132,957,661.78/12,648.62
  6. Step 6: Final answer
    x = 10,511.63

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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.