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Finding the Fourth Proportional to 15,278.40, 22,939.20 and 9,446.40

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Solution

The fourth proportional to 15,278.40, 22,939.20 and 9,446.40 is: 14,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278.40 : 22,939.20 = 9,446.40 : x
  2. Step 2: Convert to fraction form
    15,278.40/22,939.20 = 9,446.40/x
  3. Step 3: Cross multiply
    15,278.40x = 22,939.20 × 9,446.40
  4. Step 4: Simplify right side
    15,278.40x = 216,692,858.88
  5. Step 5: Solve for x
    x = 216,692,858.88/15,278.40
  6. Step 6: Final answer
    x = 14,182.95

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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.