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Finding the Fourth Proportional to 8,463.64, 11,680.78 and 5,108.08

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Solution

The fourth proportional to 8,463.64, 11,680.78 and 5,108.08 is: 7,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.64 : 11,680.78 = 5,108.08 : x
  2. Step 2: Convert to fraction form
    8,463.64/11,680.78 = 5,108.08/x
  3. Step 3: Cross multiply
    8,463.64x = 11,680.78 × 5,108.08
  4. Step 4: Simplify right side
    8,463.64x = 59,666,358.70
  5. Step 5: Solve for x
    x = 59,666,358.70/8,463.64
  6. Step 6: Final answer
    x = 7,049.73

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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.