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Finding the Fourth Proportional to 7,096.97, 9,793.69 and 4,113.08

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Solution

The fourth proportional to 7,096.97, 9,793.69 and 4,113.08 is: 5,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.97 : 9,793.69 = 4,113.08 : x
  2. Step 2: Convert to fraction form
    7,096.97/9,793.69 = 4,113.08/x
  3. Step 3: Cross multiply
    7,096.97x = 9,793.69 × 4,113.08
  4. Step 4: Simplify right side
    7,096.97x = 40,282,230.47
  5. Step 5: Solve for x
    x = 40,282,230.47/7,096.97
  6. Step 6: Final answer
    x = 5,675.98

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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.