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Finding the Fourth Proportional to 6,895.68, 9,516.04 and 3,751.88

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Solution

The fourth proportional to 6,895.68, 9,516.04 and 3,751.88 is: 5,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.68 : 9,516.04 = 3,751.88 : x
  2. Step 2: Convert to fraction form
    6,895.68/9,516.04 = 3,751.88/x
  3. Step 3: Cross multiply
    6,895.68x = 9,516.04 × 3,751.88
  4. Step 4: Simplify right side
    6,895.68x = 35,703,040.16
  5. Step 5: Solve for x
    x = 35,703,040.16/6,895.68
  6. Step 6: Final answer
    x = 5,177.60

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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.