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Finding the Fourth Proportional to 7,881.54, 10,882.08 and 5,234.46

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Solution

The fourth proportional to 7,881.54, 10,882.08 and 5,234.46 is: 7,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.54 : 10,882.08 = 5,234.46 : x
  2. Step 2: Convert to fraction form
    7,881.54/10,882.08 = 5,234.46/x
  3. Step 3: Cross multiply
    7,881.54x = 10,882.08 × 5,234.46
  4. Step 4: Simplify right side
    7,881.54x = 56,961,812.48
  5. Step 5: Solve for x
    x = 56,961,812.48/7,881.54
  6. Step 6: Final answer
    x = 7,227.24

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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.