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Finding the Fourth Proportional to 27,638.75, 41,466.44 and 9,867.15

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Solution

The fourth proportional to 27,638.75, 41,466.44 and 9,867.15 is: 14,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.75 : 41,466.44 = 9,867.15 : x
  2. Step 2: Convert to fraction form
    27,638.75/41,466.44 = 9,867.15/x
  3. Step 3: Cross multiply
    27,638.75x = 41,466.44 × 9,867.15
  4. Step 4: Simplify right side
    27,638.75x = 409,155,608.11
  5. Step 5: Solve for x
    x = 409,155,608.11/27,638.75
  6. Step 6: Final answer
    x = 14,803.69

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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.