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Finding the Fourth Proportional to 7,197.68, 9,932.78 and 4,053.87

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Solution

The fourth proportional to 7,197.68, 9,932.78 and 4,053.87 is: 5,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.68 : 9,932.78 = 4,053.87 : x
  2. Step 2: Convert to fraction form
    7,197.68/9,932.78 = 4,053.87/x
  3. Step 3: Cross multiply
    7,197.68x = 9,932.78 × 4,053.87
  4. Step 4: Simplify right side
    7,197.68x = 40,266,178.59
  5. Step 5: Solve for x
    x = 40,266,178.59/7,197.68
  6. Step 6: Final answer
    x = 5,594.33

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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.