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Finding the Fourth Proportional to 6,967.64, 10,451.48 and 1,773.48

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Solution

The fourth proportional to 6,967.64, 10,451.48 and 1,773.48 is: 2,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.64 : 10,451.48 = 1,773.48 : x
  2. Step 2: Convert to fraction form
    6,967.64/10,451.48 = 1,773.48/x
  3. Step 3: Cross multiply
    6,967.64x = 10,451.48 × 1,773.48
  4. Step 4: Simplify right side
    6,967.64x = 18,535,490.75
  5. Step 5: Solve for x
    x = 18,535,490.75/6,967.64
  6. Step 6: Final answer
    x = 2,660.23

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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.