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Finding the Fourth Proportional to 11,862, 16,369.44 and 6,556.56

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Solution

The fourth proportional to 11,862, 16,369.44 and 6,556.56 is: 9,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862 : 16,369.44 = 6,556.56 : x
  2. Step 2: Convert to fraction form
    11,862/16,369.44 = 6,556.56/x
  3. Step 3: Cross multiply
    11,862x = 16,369.44 × 6,556.56
  4. Step 4: Simplify right side
    11,862x = 107,327,215.53
  5. Step 5: Solve for x
    x = 107,327,215.53/11,862
  6. Step 6: Final answer
    x = 9,047.99

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1.5x scale

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.