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Finding the Fourth Proportional to 8,377.64, 12,493.21 and 7,342.44

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Solution

The fourth proportional to 8,377.64, 12,493.21 and 7,342.44 is: 10,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.64 : 12,493.21 = 7,342.44 : x
  2. Step 2: Convert to fraction form
    8,377.64/12,493.21 = 7,342.44/x
  3. Step 3: Cross multiply
    8,377.64x = 12,493.21 × 7,342.44
  4. Step 4: Simplify right side
    8,377.64x = 91,730,644.83
  5. Step 5: Solve for x
    x = 91,730,644.83/8,377.64
  6. Step 6: Final answer
    x = 10,949.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.