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Finding the Fourth Proportional to 7,073.14, 9,760.68 and 3,929.26

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Solution

The fourth proportional to 7,073.14, 9,760.68 and 3,929.26 is: 5,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.14 : 9,760.68 = 3,929.26 : x
  2. Step 2: Convert to fraction form
    7,073.14/9,760.68 = 3,929.26/x
  3. Step 3: Cross multiply
    7,073.14x = 9,760.68 × 3,929.26
  4. Step 4: Simplify right side
    7,073.14x = 38,352,249.50
  5. Step 5: Solve for x
    x = 38,352,249.50/7,073.14
  6. Step 6: Final answer
    x = 5,422.24

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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.