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Finding the Fourth Proportional to 7,969.40, 10,997.16 and 4,432.40

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Solution

The fourth proportional to 7,969.40, 10,997.16 and 4,432.40 is: 6,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.40 : 10,997.16 = 4,432.40 : x
  2. Step 2: Convert to fraction form
    7,969.40/10,997.16 = 4,432.40/x
  3. Step 3: Cross multiply
    7,969.40x = 10,997.16 × 4,432.40
  4. Step 4: Simplify right side
    7,969.40x = 48,743,811.98
  5. Step 5: Solve for x
    x = 48,743,811.98/7,969.40
  6. Step 6: Final answer
    x = 6,116.37

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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.