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Finding the Fourth Proportional to 6,227.64, 8,593.80 and 3,869.76

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Solution

The fourth proportional to 6,227.64, 8,593.80 and 3,869.76 is: 5,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.64 : 8,593.80 = 3,869.76 : x
  2. Step 2: Convert to fraction form
    6,227.64/8,593.80 = 3,869.76/x
  3. Step 3: Cross multiply
    6,227.64x = 8,593.80 × 3,869.76
  4. Step 4: Simplify right side
    6,227.64x = 33,255,943.49
  5. Step 5: Solve for x
    x = 33,255,943.49/6,227.64
  6. Step 6: Final answer
    x = 5,340.06

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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.