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Finding the Fourth Proportional to 7,122.63, 9,829.22 and 3,978.88

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Solution

The fourth proportional to 7,122.63, 9,829.22 and 3,978.88 is: 5,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.63 : 9,829.22 = 3,978.88 : x
  2. Step 2: Convert to fraction form
    7,122.63/9,829.22 = 3,978.88/x
  3. Step 3: Cross multiply
    7,122.63x = 9,829.22 × 3,978.88
  4. Step 4: Simplify right side
    7,122.63x = 39,109,286.87
  5. Step 5: Solve for x
    x = 39,109,286.87/7,122.63
  6. Step 6: Final answer
    x = 5,490.85

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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.