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Finding the Fourth Proportional to 12,532, 17,294.38 and 6,866.66

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Solution

The fourth proportional to 12,532, 17,294.38 and 6,866.66 is: 9,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532 : 17,294.38 = 6,866.66 : x
  2. Step 2: Convert to fraction form
    12,532/17,294.38 = 6,866.66/x
  3. Step 3: Cross multiply
    12,532x = 17,294.38 × 6,866.66
  4. Step 4: Simplify right side
    12,532x = 118,754,627.37
  5. Step 5: Solve for x
    x = 118,754,627.37/12,532
  6. Step 6: Final answer
    x = 9,476.11

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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.