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Finding the Fourth Proportional to 18,287.52, 27,425.80 and 6,598

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Solution

The fourth proportional to 18,287.52, 27,425.80 and 6,598 is: 9,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.52 : 27,425.80 = 6,598 : x
  2. Step 2: Convert to fraction form
    18,287.52/27,425.80 = 6,598/x
  3. Step 3: Cross multiply
    18,287.52x = 27,425.80 × 6,598
  4. Step 4: Simplify right side
    18,287.52x = 180,955,428.40
  5. Step 5: Solve for x
    x = 180,955,428.40/18,287.52
  6. Step 6: Final answer
    x = 9,895.02

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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.