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Finding the Fourth Proportional to 8,344.78, 11,515.80 and 4,807.96

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Solution

The fourth proportional to 8,344.78, 11,515.80 and 4,807.96 is: 6,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.78 : 11,515.80 = 4,807.96 : x
  2. Step 2: Convert to fraction form
    8,344.78/11,515.80 = 4,807.96/x
  3. Step 3: Cross multiply
    8,344.78x = 11,515.80 × 4,807.96
  4. Step 4: Simplify right side
    8,344.78x = 55,367,505.77
  5. Step 5: Solve for x
    x = 55,367,505.77/8,344.78
  6. Step 6: Final answer
    x = 6,634.99

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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.