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Finding the Fourth Proportional to 13,956.24, 20,930.24 and 4,094.24

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Solution

The fourth proportional to 13,956.24, 20,930.24 and 4,094.24 is: 6,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.24 : 20,930.24 = 4,094.24 : x
  2. Step 2: Convert to fraction form
    13,956.24/20,930.24 = 4,094.24/x
  3. Step 3: Cross multiply
    13,956.24x = 20,930.24 × 4,094.24
  4. Step 4: Simplify right side
    13,956.24x = 85,693,300.70
  5. Step 5: Solve for x
    x = 85,693,300.70/13,956.24
  6. Step 6: Final answer
    x = 6,140.14

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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.