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Finding the Fourth Proportional to 8,067.84, 12,103.20 and 3,140.16

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Solution

The fourth proportional to 8,067.84, 12,103.20 and 3,140.16 is: 4,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.84 : 12,103.20 = 3,140.16 : x
  2. Step 2: Convert to fraction form
    8,067.84/12,103.20 = 3,140.16/x
  3. Step 3: Cross multiply
    8,067.84x = 12,103.20 × 3,140.16
  4. Step 4: Simplify right side
    8,067.84x = 38,005,984.51
  5. Step 5: Solve for x
    x = 38,005,984.51/8,067.84
  6. Step 6: Final answer
    x = 4,710.80

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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.