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Finding the Fourth Proportional to 6,481, 9,722.94 and 2,377

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Solution

The fourth proportional to 6,481, 9,722.94 and 2,377 is: 3,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481 : 9,722.94 = 2,377 : x
  2. Step 2: Convert to fraction form
    6,481/9,722.94 = 2,377/x
  3. Step 3: Cross multiply
    6,481x = 9,722.94 × 2,377
  4. Step 4: Simplify right side
    6,481x = 23,111,428.38
  5. Step 5: Solve for x
    x = 23,111,428.38/6,481
  6. Step 6: Final answer
    x = 3,566.03

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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.