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Finding the Fourth Proportional to 8,944.06, 12,341 and 4,964.62

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Solution

The fourth proportional to 8,944.06, 12,341 and 4,964.62 is: 6,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,944.06 : 12,341 = 4,964.62 : x
  2. Step 2: Convert to fraction form
    8,944.06/12,341 = 4,964.62/x
  3. Step 3: Cross multiply
    8,944.06x = 12,341 × 4,964.62
  4. Step 4: Simplify right side
    8,944.06x = 61,268,375.42
  5. Step 5: Solve for x
    x = 61,268,375.42/8,944.06
  6. Step 6: Final answer
    x = 6,850.17

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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.