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Finding the Fourth Proportional to 18,546.60, 27,823.41 and 7,454.17

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Solution

The fourth proportional to 18,546.60, 27,823.41 and 7,454.17 is: 11,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.60 : 27,823.41 = 7,454.17 : x
  2. Step 2: Convert to fraction form
    18,546.60/27,823.41 = 7,454.17/x
  3. Step 3: Cross multiply
    18,546.60x = 27,823.41 × 7,454.17
  4. Step 4: Simplify right side
    18,546.60x = 207,400,428.12
  5. Step 5: Solve for x
    x = 207,400,428.12/18,546.60
  6. Step 6: Final answer
    x = 11,182.67

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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.