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Finding the Fourth Proportional to 6,751.46, 9,316.14 and 3,916.46

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Solution

The fourth proportional to 6,751.46, 9,316.14 and 3,916.46 is: 5,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.46 : 9,316.14 = 3,916.46 : x
  2. Step 2: Convert to fraction form
    6,751.46/9,316.14 = 3,916.46/x
  3. Step 3: Cross multiply
    6,751.46x = 9,316.14 × 3,916.46
  4. Step 4: Simplify right side
    6,751.46x = 36,486,289.66
  5. Step 5: Solve for x
    x = 36,486,289.66/6,751.46
  6. Step 6: Final answer
    x = 5,404.21

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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.