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Finding the Fourth Proportional to 7,969.52, 10,997.96 and 4,432.74

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Solution

The fourth proportional to 7,969.52, 10,997.96 and 4,432.74 is: 6,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.52 : 10,997.96 = 4,432.74 : x
  2. Step 2: Convert to fraction form
    7,969.52/10,997.96 = 4,432.74/x
  3. Step 3: Cross multiply
    7,969.52x = 10,997.96 × 4,432.74
  4. Step 4: Simplify right side
    7,969.52x = 48,751,075.05
  5. Step 5: Solve for x
    x = 48,751,075.05/7,969.52
  6. Step 6: Final answer
    x = 6,117.19

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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.