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Finding the Fourth Proportional to 27,462.62, 41,196.36 and 7,741.38

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Solution

The fourth proportional to 27,462.62, 41,196.36 and 7,741.38 is: 11,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.62 : 41,196.36 = 7,741.38 : x
  2. Step 2: Convert to fraction form
    27,462.62/41,196.36 = 7,741.38/x
  3. Step 3: Cross multiply
    27,462.62x = 41,196.36 × 7,741.38
  4. Step 4: Simplify right side
    27,462.62x = 318,916,677.38
  5. Step 5: Solve for x
    x = 318,916,677.38/27,462.62
  6. Step 6: Final answer
    x = 11,612.75

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1.5x scale

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.