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Finding the Fourth Proportional to 6,159.60, 9,217.44 and 4,934.88

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Solution

The fourth proportional to 6,159.60, 9,217.44 and 4,934.88 is: 7,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.60 : 9,217.44 = 4,934.88 : x
  2. Step 2: Convert to fraction form
    6,159.60/9,217.44 = 4,934.88/x
  3. Step 3: Cross multiply
    6,159.60x = 9,217.44 × 4,934.88
  4. Step 4: Simplify right side
    6,159.60x = 45,486,960.31
  5. Step 5: Solve for x
    x = 45,486,960.31/6,159.60
  6. Step 6: Final answer
    x = 7,384.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.