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Finding the Fourth Proportional to 12,592.14, 17,378.85 and 7,287.30

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Solution

The fourth proportional to 12,592.14, 17,378.85 and 7,287.30 is: 10,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.14 : 17,378.85 = 7,287.30 : x
  2. Step 2: Convert to fraction form
    12,592.14/17,378.85 = 7,287.30/x
  3. Step 3: Cross multiply
    12,592.14x = 17,378.85 × 7,287.30
  4. Step 4: Simplify right side
    12,592.14x = 126,644,893.61
  5. Step 5: Solve for x
    x = 126,644,893.61/12,592.14
  6. Step 6: Final answer
    x = 10,057.46

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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.