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Finding the Fourth Proportional to 6,006.88, 9,011.62 and 3,377

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Solution

The fourth proportional to 6,006.88, 9,011.62 and 3,377 is: 5,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.88 : 9,011.62 = 3,377 : x
  2. Step 2: Convert to fraction form
    6,006.88/9,011.62 = 3,377/x
  3. Step 3: Cross multiply
    6,006.88x = 9,011.62 × 3,377
  4. Step 4: Simplify right side
    6,006.88x = 30,432,240.74
  5. Step 5: Solve for x
    x = 30,432,240.74/6,006.88
  6. Step 6: Final answer
    x = 5,066.23

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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.