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Finding the Fourth Proportional to 8,227.16, 12,340.62 and 1,987.12

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Solution

The fourth proportional to 8,227.16, 12,340.62 and 1,987.12 is: 2,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.16 : 12,340.62 = 1,987.12 : x
  2. Step 2: Convert to fraction form
    8,227.16/12,340.62 = 1,987.12/x
  3. Step 3: Cross multiply
    8,227.16x = 12,340.62 × 1,987.12
  4. Step 4: Simplify right side
    8,227.16x = 24,522,292.81
  5. Step 5: Solve for x
    x = 24,522,292.81/8,227.16
  6. Step 6: Final answer
    x = 2,980.65

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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.