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Finding the Fourth Proportional to 8,824.59, 12,178.20 and 5,047.44

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Solution

The fourth proportional to 8,824.59, 12,178.20 and 5,047.44 is: 6,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.59 : 12,178.20 = 5,047.44 : x
  2. Step 2: Convert to fraction form
    8,824.59/12,178.20 = 5,047.44/x
  3. Step 3: Cross multiply
    8,824.59x = 12,178.20 × 5,047.44
  4. Step 4: Simplify right side
    8,824.59x = 61,468,733.81
  5. Step 5: Solve for x
    x = 61,468,733.81/8,824.59
  6. Step 6: Final answer
    x = 6,965.62

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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.