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Finding the Fourth Proportional to 7,882.68, 11,883.81 and 7,459.32

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Solution

The fourth proportional to 7,882.68, 11,883.81 and 7,459.32 is: 11,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.68 : 11,883.81 = 7,459.32 : x
  2. Step 2: Convert to fraction form
    7,882.68/11,883.81 = 7,459.32/x
  3. Step 3: Cross multiply
    7,882.68x = 11,883.81 × 7,459.32
  4. Step 4: Simplify right side
    7,882.68x = 88,645,141.61
  5. Step 5: Solve for x
    x = 88,645,141.61/7,882.68
  6. Step 6: Final answer
    x = 11,245.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.