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Finding the Fourth Proportional to 6,677.88, 9,215.30 and 3,693.62

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Solution

The fourth proportional to 6,677.88, 9,215.30 and 3,693.62 is: 5,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.88 : 9,215.30 = 3,693.62 : x
  2. Step 2: Convert to fraction form
    6,677.88/9,215.30 = 3,693.62/x
  3. Step 3: Cross multiply
    6,677.88x = 9,215.30 × 3,693.62
  4. Step 4: Simplify right side
    6,677.88x = 34,037,786.40
  5. Step 5: Solve for x
    x = 34,037,786.40/6,677.88
  6. Step 6: Final answer
    x = 5,097.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.