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Finding the Fourth Proportional to 18,447, 27,670.98 and 6,135

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Solution

The fourth proportional to 18,447, 27,670.98 and 6,135 is: 9,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,447 : 27,670.98 = 6,135 : x
  2. Step 2: Convert to fraction form
    18,447/27,670.98 = 6,135/x
  3. Step 3: Cross multiply
    18,447x = 27,670.98 × 6,135
  4. Step 4: Simplify right side
    18,447x = 169,761,462.30
  5. Step 5: Solve for x
    x = 169,761,462.30/18,447
  6. Step 6: Final answer
    x = 9,202.66

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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.