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Finding the Fourth Proportional to 13,149, 19,726.74 and 3,915

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Solution

The fourth proportional to 13,149, 19,726.74 and 3,915 is: 5,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149 : 19,726.74 = 3,915 : x
  2. Step 2: Convert to fraction form
    13,149/19,726.74 = 3,915/x
  3. Step 3: Cross multiply
    13,149x = 19,726.74 × 3,915
  4. Step 4: Simplify right side
    13,149x = 77,230,187.10
  5. Step 5: Solve for x
    x = 77,230,187.10/13,149
  6. Step 6: Final answer
    x = 5,873.46

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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.