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Finding the Fourth Proportional to 14,659.20, 21,984.57 and 7,158.14

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Solution

The fourth proportional to 14,659.20, 21,984.57 and 7,158.14 is: 10,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.20 : 21,984.57 = 7,158.14 : x
  2. Step 2: Convert to fraction form
    14,659.20/21,984.57 = 7,158.14/x
  3. Step 3: Cross multiply
    14,659.20x = 21,984.57 × 7,158.14
  4. Step 4: Simplify right side
    14,659.20x = 157,368,546.82
  5. Step 5: Solve for x
    x = 157,368,546.82/14,659.20
  6. Step 6: Final answer
    x = 10,735.14

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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.