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Finding the Fourth Proportional to 25,701.46, 38,546.84 and 9,901.06

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Solution

The fourth proportional to 25,701.46, 38,546.84 and 9,901.06 is: 14,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.46 : 38,546.84 = 9,901.06 : x
  2. Step 2: Convert to fraction form
    25,701.46/38,546.84 = 9,901.06/x
  3. Step 3: Cross multiply
    25,701.46x = 38,546.84 × 9,901.06
  4. Step 4: Simplify right side
    25,701.46x = 381,654,504.04
  5. Step 5: Solve for x
    x = 381,654,504.04/25,701.46
  6. Step 6: Final answer
    x = 14,849.53

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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.