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Finding the Fourth Proportional to 6,214.66, 9,325.16 and 3,440.80

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Solution

The fourth proportional to 6,214.66, 9,325.16 and 3,440.80 is: 5,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.66 : 9,325.16 = 3,440.80 : x
  2. Step 2: Convert to fraction form
    6,214.66/9,325.16 = 3,440.80/x
  3. Step 3: Cross multiply
    6,214.66x = 9,325.16 × 3,440.80
  4. Step 4: Simplify right side
    6,214.66x = 32,086,010.53
  5. Step 5: Solve for x
    x = 32,086,010.53/6,214.66
  6. Step 6: Final answer
    x = 5,162.96

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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.