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Finding the Fourth Proportional to 6,657.66, 9,977.79 and 3,368.97

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Solution

The fourth proportional to 6,657.66, 9,977.79 and 3,368.97 is: 5,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.66 : 9,977.79 = 3,368.97 : x
  2. Step 2: Convert to fraction form
    6,657.66/9,977.79 = 3,368.97/x
  3. Step 3: Cross multiply
    6,657.66x = 9,977.79 × 3,368.97
  4. Step 4: Simplify right side
    6,657.66x = 33,614,875.18
  5. Step 5: Solve for x
    x = 33,614,875.18/6,657.66
  6. Step 6: Final answer
    x = 5,049.05

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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.