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Finding the Fourth Proportional to 6,474.35, 9,711.54 and 2,774.18

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Solution

The fourth proportional to 6,474.35, 9,711.54 and 2,774.18 is: 4,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.35 : 9,711.54 = 2,774.18 : x
  2. Step 2: Convert to fraction form
    6,474.35/9,711.54 = 2,774.18/x
  3. Step 3: Cross multiply
    6,474.35x = 9,711.54 × 2,774.18
  4. Step 4: Simplify right side
    6,474.35x = 26,941,546.17
  5. Step 5: Solve for x
    x = 26,941,546.17/6,474.35
  6. Step 6: Final answer
    x = 4,161.27

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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.