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Finding the Fourth Proportional to 7,884.68, 10,848.67 and 6,463.13

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Solution

The fourth proportional to 7,884.68, 10,848.67 and 6,463.13 is: 8,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.68 : 10,848.67 = 6,463.13 : x
  2. Step 2: Convert to fraction form
    7,884.68/10,848.67 = 6,463.13/x
  3. Step 3: Cross multiply
    7,884.68x = 10,848.67 × 6,463.13
  4. Step 4: Simplify right side
    7,884.68x = 70,116,294.14
  5. Step 5: Solve for x
    x = 70,116,294.14/7,884.68
  6. Step 6: Final answer
    x = 8,892.73

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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.