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Finding the Fourth Proportional to 7,097.54, 9,793.96 and 4,112.42

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Solution

The fourth proportional to 7,097.54, 9,793.96 and 4,112.42 is: 5,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.54 : 9,793.96 = 4,112.42 : x
  2. Step 2: Convert to fraction form
    7,097.54/9,793.96 = 4,112.42/x
  3. Step 3: Cross multiply
    7,097.54x = 9,793.96 × 4,112.42
  4. Step 4: Simplify right side
    7,097.54x = 40,276,876.98
  5. Step 5: Solve for x
    x = 40,276,876.98/7,097.54
  6. Step 6: Final answer
    x = 5,674.77

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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.