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Finding the Fourth Proportional to 5,948.32, 8,209.20 and 5,067.04

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Solution

The fourth proportional to 5,948.32, 8,209.20 and 5,067.04 is: 6,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.32 : 8,209.20 = 5,067.04 : x
  2. Step 2: Convert to fraction form
    5,948.32/8,209.20 = 5,067.04/x
  3. Step 3: Cross multiply
    5,948.32x = 8,209.20 × 5,067.04
  4. Step 4: Simplify right side
    5,948.32x = 41,596,344.77
  5. Step 5: Solve for x
    x = 41,596,344.77/5,948.32
  6. Step 6: Final answer
    x = 6,992.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.