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Finding the Fourth Proportional to 6,956.38, 9,599.88 and 3,812.50

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Solution

The fourth proportional to 6,956.38, 9,599.88 and 3,812.50 is: 5,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.38 : 9,599.88 = 3,812.50 : x
  2. Step 2: Convert to fraction form
    6,956.38/9,599.88 = 3,812.50/x
  3. Step 3: Cross multiply
    6,956.38x = 9,599.88 × 3,812.50
  4. Step 4: Simplify right side
    6,956.38x = 36,599,542.50
  5. Step 5: Solve for x
    x = 36,599,542.50/6,956.38
  6. Step 6: Final answer
    x = 5,261.29

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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.