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Finding the Fourth Proportional to 18,214.31, 27,319.07 and 5,734.40

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Solution

The fourth proportional to 18,214.31, 27,319.07 and 5,734.40 is: 8,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.31 : 27,319.07 = 5,734.40 : x
  2. Step 2: Convert to fraction form
    18,214.31/27,319.07 = 5,734.40/x
  3. Step 3: Cross multiply
    18,214.31x = 27,319.07 × 5,734.40
  4. Step 4: Simplify right side
    18,214.31x = 156,658,492.93
  5. Step 5: Solve for x
    x = 156,658,492.93/18,214.31
  6. Step 6: Final answer
    x = 8,600.85

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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.