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Finding the Fourth Proportional to 9,193.96, 12,687.69 and 5,002.21

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Solution

The fourth proportional to 9,193.96, 12,687.69 and 5,002.21 is: 6,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.96 : 12,687.69 = 5,002.21 : x
  2. Step 2: Convert to fraction form
    9,193.96/12,687.69 = 5,002.21/x
  3. Step 3: Cross multiply
    9,193.96x = 12,687.69 × 5,002.21
  4. Step 4: Simplify right side
    9,193.96x = 63,466,489.79
  5. Step 5: Solve for x
    x = 63,466,489.79/9,193.96
  6. Step 6: Final answer
    x = 6,903.06

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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.