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Finding the Fourth Proportional to 12,632.04, 17,431.46 and 6,966.52

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Solution

The fourth proportional to 12,632.04, 17,431.46 and 6,966.52 is: 9,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.04 : 17,431.46 = 6,966.52 : x
  2. Step 2: Convert to fraction form
    12,632.04/17,431.46 = 6,966.52/x
  3. Step 3: Cross multiply
    12,632.04x = 17,431.46 × 6,966.52
  4. Step 4: Simplify right side
    12,632.04x = 121,436,614.72
  5. Step 5: Solve for x
    x = 121,436,614.72/12,632.04
  6. Step 6: Final answer
    x = 9,613.38

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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.