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Finding the Fourth Proportional to 6,895.64, 9,515.84 and 3,751.84

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Solution

The fourth proportional to 6,895.64, 9,515.84 and 3,751.84 is: 5,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.64 : 9,515.84 = 3,751.84 : x
  2. Step 2: Convert to fraction form
    6,895.64/9,515.84 = 3,751.84/x
  3. Step 3: Cross multiply
    6,895.64x = 9,515.84 × 3,751.84
  4. Step 4: Simplify right side
    6,895.64x = 35,701,909.15
  5. Step 5: Solve for x
    x = 35,701,909.15/6,895.64
  6. Step 6: Final answer
    x = 5,177.46

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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.