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Finding the Fourth Proportional to 4,967.65, 7,456.94 and 3,934.29

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Solution

The fourth proportional to 4,967.65, 7,456.94 and 3,934.29 is: 5,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.65 : 7,456.94 = 3,934.29 : x
  2. Step 2: Convert to fraction form
    4,967.65/7,456.94 = 3,934.29/x
  3. Step 3: Cross multiply
    4,967.65x = 7,456.94 × 3,934.29
  4. Step 4: Simplify right side
    4,967.65x = 29,337,764.47
  5. Step 5: Solve for x
    x = 29,337,764.47/4,967.65
  6. Step 6: Final answer
    x = 5,905.76

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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.