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Finding the Fourth Proportional to 9,962.48, 13,736.04 and 6,230

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Solution

The fourth proportional to 9,962.48, 13,736.04 and 6,230 is: 8,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.48 : 13,736.04 = 6,230 : x
  2. Step 2: Convert to fraction form
    9,962.48/13,736.04 = 6,230/x
  3. Step 3: Cross multiply
    9,962.48x = 13,736.04 × 6,230
  4. Step 4: Simplify right side
    9,962.48x = 85,575,529.20
  5. Step 5: Solve for x
    x = 85,575,529.20/9,962.48
  6. Step 6: Final answer
    x = 8,589.78

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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.