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Finding the Fourth Proportional to 7,969.53, 10,997.97 and 4,432.77

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Solution

The fourth proportional to 7,969.53, 10,997.97 and 4,432.77 is: 6,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.53 : 10,997.97 = 4,432.77 : x
  2. Step 2: Convert to fraction form
    7,969.53/10,997.97 = 4,432.77/x
  3. Step 3: Cross multiply
    7,969.53x = 10,997.97 × 4,432.77
  4. Step 4: Simplify right side
    7,969.53x = 48,751,471.48
  5. Step 5: Solve for x
    x = 48,751,471.48/7,969.53
  6. Step 6: Final answer
    x = 6,117.23

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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.