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Finding the Fourth Proportional to 6,606.74, 9,910.38 and 1,989.74

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Solution

The fourth proportional to 6,606.74, 9,910.38 and 1,989.74 is: 2,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.74 : 9,910.38 = 1,989.74 : x
  2. Step 2: Convert to fraction form
    6,606.74/9,910.38 = 1,989.74/x
  3. Step 3: Cross multiply
    6,606.74x = 9,910.38 × 1,989.74
  4. Step 4: Simplify right side
    6,606.74x = 19,719,079.50
  5. Step 5: Solve for x
    x = 19,719,079.50/6,606.74
  6. Step 6: Final answer
    x = 2,984.69

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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.