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Finding the Fourth Proportional to 4,711.74, 7,067.54 and 1,424.90

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Solution

The fourth proportional to 4,711.74, 7,067.54 and 1,424.90 is: 2,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.74 : 7,067.54 = 1,424.90 : x
  2. Step 2: Convert to fraction form
    4,711.74/7,067.54 = 1,424.90/x
  3. Step 3: Cross multiply
    4,711.74x = 7,067.54 × 1,424.90
  4. Step 4: Simplify right side
    4,711.74x = 10,070,537.75
  5. Step 5: Solve for x
    x = 10,070,537.75/4,711.74
  6. Step 6: Final answer
    x = 2,137.33

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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.