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Finding the Fourth Proportional to 9,901.92, 14,853.15 and 2,881.65

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Solution

The fourth proportional to 9,901.92, 14,853.15 and 2,881.65 is: 4,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.92 : 14,853.15 = 2,881.65 : x
  2. Step 2: Convert to fraction form
    9,901.92/14,853.15 = 2,881.65/x
  3. Step 3: Cross multiply
    9,901.92x = 14,853.15 × 2,881.65
  4. Step 4: Simplify right side
    9,901.92x = 42,801,579.70
  5. Step 5: Solve for x
    x = 42,801,579.70/9,901.92
  6. Step 6: Final answer
    x = 4,322.55

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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.