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Finding the Fourth Proportional to 27,548.78, 41,325.90 and 8,824.10

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Solution

The fourth proportional to 27,548.78, 41,325.90 and 8,824.10 is: 13,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548.78 : 41,325.90 = 8,824.10 : x
  2. Step 2: Convert to fraction form
    27,548.78/41,325.90 = 8,824.10/x
  3. Step 3: Cross multiply
    27,548.78x = 41,325.90 × 8,824.10
  4. Step 4: Simplify right side
    27,548.78x = 364,663,874.19
  5. Step 5: Solve for x
    x = 364,663,874.19/27,548.78
  6. Step 6: Final answer
    x = 13,237.02

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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.