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Finding the Fourth Proportional to 13,151, 19,736.22 and 6,225.50

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Solution

The fourth proportional to 13,151, 19,736.22 and 6,225.50 is: 9,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151 : 19,736.22 = 6,225.50 : x
  2. Step 2: Convert to fraction form
    13,151/19,736.22 = 6,225.50/x
  3. Step 3: Cross multiply
    13,151x = 19,736.22 × 6,225.50
  4. Step 4: Simplify right side
    13,151x = 122,867,837.61
  5. Step 5: Solve for x
    x = 122,867,837.61/13,151
  6. Step 6: Final answer
    x = 9,342.85

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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.