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Finding the Fourth Proportional to 27,209.81, 40,799.40 and 9,432.14

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Solution

The fourth proportional to 27,209.81, 40,799.40 and 9,432.14 is: 14,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209.81 : 40,799.40 = 9,432.14 : x
  2. Step 2: Convert to fraction form
    27,209.81/40,799.40 = 9,432.14/x
  3. Step 3: Cross multiply
    27,209.81x = 40,799.40 × 9,432.14
  4. Step 4: Simplify right side
    27,209.81x = 384,825,652.72
  5. Step 5: Solve for x
    x = 384,825,652.72/27,209.81
  6. Step 6: Final answer
    x = 14,142.90

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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.