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Finding the Fourth Proportional to 6,774.80, 10,164.64 and 3,074.16

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Solution

The fourth proportional to 6,774.80, 10,164.64 and 3,074.16 is: 4,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.80 : 10,164.64 = 3,074.16 : x
  2. Step 2: Convert to fraction form
    6,774.80/10,164.64 = 3,074.16/x
  3. Step 3: Cross multiply
    6,774.80x = 10,164.64 × 3,074.16
  4. Step 4: Simplify right side
    6,774.80x = 31,247,729.70
  5. Step 5: Solve for x
    x = 31,247,729.70/6,774.80
  6. Step 6: Final answer
    x = 4,612.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.