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Finding the Fourth Proportional to 12,407.85, 18,585.05 and 5,824.17

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Solution

The fourth proportional to 12,407.85, 18,585.05 and 5,824.17 is: 8,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.85 : 18,585.05 = 5,824.17 : x
  2. Step 2: Convert to fraction form
    12,407.85/18,585.05 = 5,824.17/x
  3. Step 3: Cross multiply
    12,407.85x = 18,585.05 × 5,824.17
  4. Step 4: Simplify right side
    12,407.85x = 108,242,461.54
  5. Step 5: Solve for x
    x = 108,242,461.54/12,407.85
  6. Step 6: Final answer
    x = 8,723.71

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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.