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Finding the Fourth Proportional to 6,997.60, 10,505.31 and 6,016.69

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Solution

The fourth proportional to 6,997.60, 10,505.31 and 6,016.69 is: 9,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.60 : 10,505.31 = 6,016.69 : x
  2. Step 2: Convert to fraction form
    6,997.60/10,505.31 = 6,016.69/x
  3. Step 3: Cross multiply
    6,997.60x = 10,505.31 × 6,016.69
  4. Step 4: Simplify right side
    6,997.60x = 63,207,193.62
  5. Step 5: Solve for x
    x = 63,207,193.62/6,997.60
  6. Step 6: Final answer
    x = 9,032.70

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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.