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Finding the Fourth Proportional to 6,236.48, 9,356.16 and 2,774

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Solution

The fourth proportional to 6,236.48, 9,356.16 and 2,774 is: 4,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.48 : 9,356.16 = 2,774 : x
  2. Step 2: Convert to fraction form
    6,236.48/9,356.16 = 2,774/x
  3. Step 3: Cross multiply
    6,236.48x = 9,356.16 × 2,774
  4. Step 4: Simplify right side
    6,236.48x = 25,953,987.84
  5. Step 5: Solve for x
    x = 25,953,987.84/6,236.48
  6. Step 6: Final answer
    x = 4,161.64

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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.