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Finding the Fourth Proportional to 6,291.24, 9,440.48 and 3,696

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Solution

The fourth proportional to 6,291.24, 9,440.48 and 3,696 is: 5,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.24 : 9,440.48 = 3,696 : x
  2. Step 2: Convert to fraction form
    6,291.24/9,440.48 = 3,696/x
  3. Step 3: Cross multiply
    6,291.24x = 9,440.48 × 3,696
  4. Step 4: Simplify right side
    6,291.24x = 34,892,014.08
  5. Step 5: Solve for x
    x = 34,892,014.08/6,291.24
  6. Step 6: Final answer
    x = 5,546.13

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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.