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Finding the Fourth Proportional to 6,288.38, 9,436.53 and 3,516.86

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Solution

The fourth proportional to 6,288.38, 9,436.53 and 3,516.86 is: 5,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.38 : 9,436.53 = 3,516.86 : x
  2. Step 2: Convert to fraction form
    6,288.38/9,436.53 = 3,516.86/x
  3. Step 3: Cross multiply
    6,288.38x = 9,436.53 × 3,516.86
  4. Step 4: Simplify right side
    6,288.38x = 33,186,954.90
  5. Step 5: Solve for x
    x = 33,186,954.90/6,288.38
  6. Step 6: Final answer
    x = 5,277.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.