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Finding the Fourth Proportional to 5,107.04, 7,661.12 and 4,067.04

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Solution

The fourth proportional to 5,107.04, 7,661.12 and 4,067.04 is: 6,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.04 : 7,661.12 = 4,067.04 : x
  2. Step 2: Convert to fraction form
    5,107.04/7,661.12 = 4,067.04/x
  3. Step 3: Cross multiply
    5,107.04x = 7,661.12 × 4,067.04
  4. Step 4: Simplify right side
    5,107.04x = 31,158,081.48
  5. Step 5: Solve for x
    x = 31,158,081.48/5,107.04
  6. Step 6: Final answer
    x = 6,101.01

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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.