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Finding the Fourth Proportional to 8,191.74, 12,293.72 and 6,088.21

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Solution

The fourth proportional to 8,191.74, 12,293.72 and 6,088.21 is: 9,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.74 : 12,293.72 = 6,088.21 : x
  2. Step 2: Convert to fraction form
    8,191.74/12,293.72 = 6,088.21/x
  3. Step 3: Cross multiply
    8,191.74x = 12,293.72 × 6,088.21
  4. Step 4: Simplify right side
    8,191.74x = 74,846,749.04
  5. Step 5: Solve for x
    x = 74,846,749.04/8,191.74
  6. Step 6: Final answer
    x = 9,136.86

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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.