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Finding the Fourth Proportional to 6,742.70, 10,112.70 and 3,232.70

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Solution

The fourth proportional to 6,742.70, 10,112.70 and 3,232.70 is: 4,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.70 : 10,112.70 = 3,232.70 : x
  2. Step 2: Convert to fraction form
    6,742.70/10,112.70 = 3,232.70/x
  3. Step 3: Cross multiply
    6,742.70x = 10,112.70 × 3,232.70
  4. Step 4: Simplify right side
    6,742.70x = 32,691,325.29
  5. Step 5: Solve for x
    x = 32,691,325.29/6,742.70
  6. Step 6: Final answer
    x = 4,848.40

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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.