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Finding the Fourth Proportional to 7,969.67, 10,998.21 and 4,432.80

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Solution

The fourth proportional to 7,969.67, 10,998.21 and 4,432.80 is: 6,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.67 : 10,998.21 = 4,432.80 : x
  2. Step 2: Convert to fraction form
    7,969.67/10,998.21 = 4,432.80/x
  3. Step 3: Cross multiply
    7,969.67x = 10,998.21 × 4,432.80
  4. Step 4: Simplify right side
    7,969.67x = 48,752,865.29
  5. Step 5: Solve for x
    x = 48,752,865.29/7,969.67
  6. Step 6: Final answer
    x = 6,117.30

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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.