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Finding the Fourth Proportional to 7,197.84, 9,932.22 and 4,053.96

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Solution

The fourth proportional to 7,197.84, 9,932.22 and 4,053.96 is: 5,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.84 : 9,932.22 = 4,053.96 : x
  2. Step 2: Convert to fraction form
    7,197.84/9,932.22 = 4,053.96/x
  3. Step 3: Cross multiply
    7,197.84x = 9,932.22 × 4,053.96
  4. Step 4: Simplify right side
    7,197.84x = 40,264,822.59
  5. Step 5: Solve for x
    x = 40,264,822.59/7,197.84
  6. Step 6: Final answer
    x = 5,594.01

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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.