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Finding the Fourth Proportional to 7,977, 11,006.38 and 6,705.71

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Solution

The fourth proportional to 7,977, 11,006.38 and 6,705.71 is: 9,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977 : 11,006.38 = 6,705.71 : x
  2. Step 2: Convert to fraction form
    7,977/11,006.38 = 6,705.71/x
  3. Step 3: Cross multiply
    7,977x = 11,006.38 × 6,705.71
  4. Step 4: Simplify right side
    7,977x = 73,805,603.18
  5. Step 5: Solve for x
    x = 73,805,603.18/7,977
  6. Step 6: Final answer
    x = 9,252.30

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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.