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Finding the Fourth Proportional to 9,937.82, 13,716.80 and 6,158.82

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Solution

The fourth proportional to 9,937.82, 13,716.80 and 6,158.82 is: 8,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.82 : 13,716.80 = 6,158.82 : x
  2. Step 2: Convert to fraction form
    9,937.82/13,716.80 = 6,158.82/x
  3. Step 3: Cross multiply
    9,937.82x = 13,716.80 × 6,158.82
  4. Step 4: Simplify right side
    9,937.82x = 84,479,271.38
  5. Step 5: Solve for x
    x = 84,479,271.38/9,937.82
  6. Step 6: Final answer
    x = 8,500.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.