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Finding the Fourth Proportional to 9,901.92, 14,817.49 and 8,601

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Solution

The fourth proportional to 9,901.92, 14,817.49 and 8,601 is: 12,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.92 : 14,817.49 = 8,601 : x
  2. Step 2: Convert to fraction form
    9,901.92/14,817.49 = 8,601/x
  3. Step 3: Cross multiply
    9,901.92x = 14,817.49 × 8,601
  4. Step 4: Simplify right side
    9,901.92x = 127,445,231.49
  5. Step 5: Solve for x
    x = 127,445,231.49/9,901.92
  6. Step 6: Final answer
    x = 12,870.76

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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.