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Finding the Fourth Proportional to 6,236.48, 9,356 and 2,538.70

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Solution

The fourth proportional to 6,236.48, 9,356 and 2,538.70 is: 3,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.48 : 9,356 = 2,538.70 : x
  2. Step 2: Convert to fraction form
    6,236.48/9,356 = 2,538.70/x
  3. Step 3: Cross multiply
    6,236.48x = 9,356 × 2,538.70
  4. Step 4: Simplify right side
    6,236.48x = 23,752,077.20
  5. Step 5: Solve for x
    x = 23,752,077.20/6,236.48
  6. Step 6: Final answer
    x = 3,808.57

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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.