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Finding the Fourth Proportional to 13,627.52, 20,424.18 and 5,827.16

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Solution

The fourth proportional to 13,627.52, 20,424.18 and 5,827.16 is: 8,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.52 : 20,424.18 = 5,827.16 : x
  2. Step 2: Convert to fraction form
    13,627.52/20,424.18 = 5,827.16/x
  3. Step 3: Cross multiply
    13,627.52x = 20,424.18 × 5,827.16
  4. Step 4: Simplify right side
    13,627.52x = 119,014,964.73
  5. Step 5: Solve for x
    x = 119,014,964.73/13,627.52
  6. Step 6: Final answer
    x = 8,733.43

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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.