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Finding the Fourth Proportional to 7,098.90, 9,793.20 and 4,441.69

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Solution

The fourth proportional to 7,098.90, 9,793.20 and 4,441.69 is: 6,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.90 : 9,793.20 = 4,441.69 : x
  2. Step 2: Convert to fraction form
    7,098.90/9,793.20 = 4,441.69/x
  3. Step 3: Cross multiply
    7,098.90x = 9,793.20 × 4,441.69
  4. Step 4: Simplify right side
    7,098.90x = 43,498,358.51
  5. Step 5: Solve for x
    x = 43,498,358.51/7,098.90
  6. Step 6: Final answer
    x = 6,127.48

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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.