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Finding the Fourth Proportional to 7,018.26, 9,685.35 and 3,874.65

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Solution

The fourth proportional to 7,018.26, 9,685.35 and 3,874.65 is: 5,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.26 : 9,685.35 = 3,874.65 : x
  2. Step 2: Convert to fraction form
    7,018.26/9,685.35 = 3,874.65/x
  3. Step 3: Cross multiply
    7,018.26x = 9,685.35 × 3,874.65
  4. Step 4: Simplify right side
    7,018.26x = 37,527,341.38
  5. Step 5: Solve for x
    x = 37,527,341.38/7,018.26
  6. Step 6: Final answer
    x = 5,347.10

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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.