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Finding the Fourth Proportional to 8,191.76, 12,269.16 and 5,230.16

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Solution

The fourth proportional to 8,191.76, 12,269.16 and 5,230.16 is: 7,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.76 : 12,269.16 = 5,230.16 : x
  2. Step 2: Convert to fraction form
    8,191.76/12,269.16 = 5,230.16/x
  3. Step 3: Cross multiply
    8,191.76x = 12,269.16 × 5,230.16
  4. Step 4: Simplify right side
    8,191.76x = 64,169,669.87
  5. Step 5: Solve for x
    x = 64,169,669.87/8,191.76
  6. Step 6: Final answer
    x = 7,833.44

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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.