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Finding the Fourth Proportional to 7,067.24, 9,748.48 and 4,677.20

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Solution

The fourth proportional to 7,067.24, 9,748.48 and 4,677.20 is: 6,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.24 : 9,748.48 = 4,677.20 : x
  2. Step 2: Convert to fraction form
    7,067.24/9,748.48 = 4,677.20/x
  3. Step 3: Cross multiply
    7,067.24x = 9,748.48 × 4,677.20
  4. Step 4: Simplify right side
    7,067.24x = 45,595,590.66
  5. Step 5: Solve for x
    x = 45,595,590.66/7,067.24
  6. Step 6: Final answer
    x = 6,451.68

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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.