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Finding the Fourth Proportional to 7,789.98, 10,750.14 and 4,253.22

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Solution

The fourth proportional to 7,789.98, 10,750.14 and 4,253.22 is: 5,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.98 : 10,750.14 = 4,253.22 : x
  2. Step 2: Convert to fraction form
    7,789.98/10,750.14 = 4,253.22/x
  3. Step 3: Cross multiply
    7,789.98x = 10,750.14 × 4,253.22
  4. Step 4: Simplify right side
    7,789.98x = 45,722,710.45
  5. Step 5: Solve for x
    x = 45,722,710.45/7,789.98
  6. Step 6: Final answer
    x = 5,869.43

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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.