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Finding the Fourth Proportional to 7,099.62, 9,793.62 and 4,446.48

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Solution

The fourth proportional to 7,099.62, 9,793.62 and 4,446.48 is: 6,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.62 : 9,793.62 = 4,446.48 : x
  2. Step 2: Convert to fraction form
    7,099.62/9,793.62 = 4,446.48/x
  3. Step 3: Cross multiply
    7,099.62x = 9,793.62 × 4,446.48
  4. Step 4: Simplify right side
    7,099.62x = 43,547,135.46
  5. Step 5: Solve for x
    x = 43,547,135.46/7,099.62
  6. Step 6: Final answer
    x = 6,133.73

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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.