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Finding the Fourth Proportional to 7,959.62, 10,984.24 and 4,422.98

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Solution

The fourth proportional to 7,959.62, 10,984.24 and 4,422.98 is: 6,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.62 : 10,984.24 = 4,422.98 : x
  2. Step 2: Convert to fraction form
    7,959.62/10,984.24 = 4,422.98/x
  3. Step 3: Cross multiply
    7,959.62x = 10,984.24 × 4,422.98
  4. Step 4: Simplify right side
    7,959.62x = 48,583,073.84
  5. Step 5: Solve for x
    x = 48,583,073.84/7,959.62
  6. Step 6: Final answer
    x = 6,103.69

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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.