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Finding the Fourth Proportional to 13,343.60, 20,027.94 and 6,774.50

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Solution

The fourth proportional to 13,343.60, 20,027.94 and 6,774.50 is: 10,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.60 : 20,027.94 = 6,774.50 : x
  2. Step 2: Convert to fraction form
    13,343.60/20,027.94 = 6,774.50/x
  3. Step 3: Cross multiply
    13,343.60x = 20,027.94 × 6,774.50
  4. Step 4: Simplify right side
    13,343.60x = 135,679,279.53
  5. Step 5: Solve for x
    x = 135,679,279.53/13,343.60
  6. Step 6: Final answer
    x = 10,168.12

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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.