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Finding the Fourth Proportional to 15,306, 22,967.17 and 6,538.90

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Solution

The fourth proportional to 15,306, 22,967.17 and 6,538.90 is: 9,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306 : 22,967.17 = 6,538.90 : x
  2. Step 2: Convert to fraction form
    15,306/22,967.17 = 6,538.90/x
  3. Step 3: Cross multiply
    15,306x = 22,967.17 × 6,538.90
  4. Step 4: Simplify right side
    15,306x = 150,179,954.15
  5. Step 5: Solve for x
    x = 150,179,954.15/15,306
  6. Step 6: Final answer
    x = 9,811.84

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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.