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Finding the Fourth Proportional to 9,793.80, 13,506.26 and 7,552.13

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Solution

The fourth proportional to 9,793.80, 13,506.26 and 7,552.13 is: 10,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.80 : 13,506.26 = 7,552.13 : x
  2. Step 2: Convert to fraction form
    9,793.80/13,506.26 = 7,552.13/x
  3. Step 3: Cross multiply
    9,793.80x = 13,506.26 × 7,552.13
  4. Step 4: Simplify right side
    9,793.80x = 102,000,926.04
  5. Step 5: Solve for x
    x = 102,000,926.04/9,793.80
  6. Step 6: Final answer
    x = 10,414.85

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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.