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Finding the Fourth Proportional to 7,205.19, 9,932.27 and 5,630.55

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Solution

The fourth proportional to 7,205.19, 9,932.27 and 5,630.55 is: 7,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.19 : 9,932.27 = 5,630.55 : x
  2. Step 2: Convert to fraction form
    7,205.19/9,932.27 = 5,630.55/x
  3. Step 3: Cross multiply
    7,205.19x = 9,932.27 × 5,630.55
  4. Step 4: Simplify right side
    7,205.19x = 55,924,109.12
  5. Step 5: Solve for x
    x = 55,924,109.12/7,205.19
  6. Step 6: Final answer
    x = 7,761.65

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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.