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Finding the Fourth Proportional to 7,072.75, 9,760.80 and 3,929.14

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Solution

The fourth proportional to 7,072.75, 9,760.80 and 3,929.14 is: 5,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.75 : 9,760.80 = 3,929.14 : x
  2. Step 2: Convert to fraction form
    7,072.75/9,760.80 = 3,929.14/x
  3. Step 3: Cross multiply
    7,072.75x = 9,760.80 × 3,929.14
  4. Step 4: Simplify right side
    7,072.75x = 38,351,549.71
  5. Step 5: Solve for x
    x = 38,351,549.71/7,072.75
  6. Step 6: Final answer
    x = 5,422.44

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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.