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Finding the Fourth Proportional to 7,098.57, 9,793.44 and 4,113.32

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Solution

The fourth proportional to 7,098.57, 9,793.44 and 4,113.32 is: 5,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.57 : 9,793.44 = 4,113.32 : x
  2. Step 2: Convert to fraction form
    7,098.57/9,793.44 = 4,113.32/x
  3. Step 3: Cross multiply
    7,098.57x = 9,793.44 × 4,113.32
  4. Step 4: Simplify right side
    7,098.57x = 40,283,503.65
  5. Step 5: Solve for x
    x = 40,283,503.65/7,098.57
  6. Step 6: Final answer
    x = 5,674.88

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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.