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Finding the Fourth Proportional to 27,925.44, 41,892 and 9,462.72

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Solution

The fourth proportional to 27,925.44, 41,892 and 9,462.72 is: 14,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,925.44 : 41,892 = 9,462.72 : x
  2. Step 2: Convert to fraction form
    27,925.44/41,892 = 9,462.72/x
  3. Step 3: Cross multiply
    27,925.44x = 41,892 × 9,462.72
  4. Step 4: Simplify right side
    27,925.44x = 396,412,266.24
  5. Step 5: Solve for x
    x = 396,412,266.24/27,925.44
  6. Step 6: Final answer
    x = 14,195.38

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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.