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Finding the Fourth Proportional to 6,997.59, 10,495.17 and 2,380.59

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Solution

The fourth proportional to 6,997.59, 10,495.17 and 2,380.59 is: 3,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.59 : 10,495.17 = 2,380.59 : x
  2. Step 2: Convert to fraction form
    6,997.59/10,495.17 = 2,380.59/x
  3. Step 3: Cross multiply
    6,997.59x = 10,495.17 × 2,380.59
  4. Step 4: Simplify right side
    6,997.59x = 24,984,696.75
  5. Step 5: Solve for x
    x = 24,984,696.75/6,997.59
  6. Step 6: Final answer
    x = 3,570.47

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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.