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Finding the Fourth Proportional to 27,738.40, 41,607.60 and 8,017.60

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Solution

The fourth proportional to 27,738.40, 41,607.60 and 8,017.60 is: 12,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.40 : 41,607.60 = 8,017.60 : x
  2. Step 2: Convert to fraction form
    27,738.40/41,607.60 = 8,017.60/x
  3. Step 3: Cross multiply
    27,738.40x = 41,607.60 × 8,017.60
  4. Step 4: Simplify right side
    27,738.40x = 333,593,093.76
  5. Step 5: Solve for x
    x = 333,593,093.76/27,738.40
  6. Step 6: Final answer
    x = 12,026.40

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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.