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Finding the Fourth Proportional to 13,978.68, 20,952.12 and 7,304.88

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Solution

The fourth proportional to 13,978.68, 20,952.12 and 7,304.88 is: 10,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.68 : 20,952.12 = 7,304.88 : x
  2. Step 2: Convert to fraction form
    13,978.68/20,952.12 = 7,304.88/x
  3. Step 3: Cross multiply
    13,978.68x = 20,952.12 × 7,304.88
  4. Step 4: Simplify right side
    13,978.68x = 153,052,787.22
  5. Step 5: Solve for x
    x = 153,052,787.22/13,978.68
  6. Step 6: Final answer
    x = 10,949.02

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1.5x scale

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.