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Finding the Fourth Proportional to 10,591.17, 15,873.03 and 7,937.84

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Solution

The fourth proportional to 10,591.17, 15,873.03 and 7,937.84 is: 11,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.17 : 15,873.03 = 7,937.84 : x
  2. Step 2: Convert to fraction form
    10,591.17/15,873.03 = 7,937.84/x
  3. Step 3: Cross multiply
    10,591.17x = 15,873.03 × 7,937.84
  4. Step 4: Simplify right side
    10,591.17x = 125,997,493.09
  5. Step 5: Solve for x
    x = 125,997,493.09/10,591.17
  6. Step 6: Final answer
    x = 11,896.47

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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.