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Finding the Fourth Proportional to 7,161.59, 10,742.90 and 2,997.41

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Solution

The fourth proportional to 7,161.59, 10,742.90 and 2,997.41 is: 4,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.59 : 10,742.90 = 2,997.41 : x
  2. Step 2: Convert to fraction form
    7,161.59/10,742.90 = 2,997.41/x
  3. Step 3: Cross multiply
    7,161.59x = 10,742.90 × 2,997.41
  4. Step 4: Simplify right side
    7,161.59x = 32,200,822.17
  5. Step 5: Solve for x
    x = 32,200,822.17/7,161.59
  6. Step 6: Final answer
    x = 4,496.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.