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Finding the Fourth Proportional to 7,209.78, 9,949.44 and 3,897.78

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Solution

The fourth proportional to 7,209.78, 9,949.44 and 3,897.78 is: 5,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.78 : 9,949.44 = 3,897.78 : x
  2. Step 2: Convert to fraction form
    7,209.78/9,949.44 = 3,897.78/x
  3. Step 3: Cross multiply
    7,209.78x = 9,949.44 × 3,897.78
  4. Step 4: Simplify right side
    7,209.78x = 38,780,728.24
  5. Step 5: Solve for x
    x = 38,780,728.24/7,209.78
  6. Step 6: Final answer
    x = 5,378.91

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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.