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Finding the Fourth Proportional to 6,647.70, 9,972.63 and 2,264.70

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Solution

The fourth proportional to 6,647.70, 9,972.63 and 2,264.70 is: 3,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.70 : 9,972.63 = 2,264.70 : x
  2. Step 2: Convert to fraction form
    6,647.70/9,972.63 = 2,264.70/x
  3. Step 3: Cross multiply
    6,647.70x = 9,972.63 × 2,264.70
  4. Step 4: Simplify right side
    6,647.70x = 22,585,015.16
  5. Step 5: Solve for x
    x = 22,585,015.16/6,647.70
  6. Step 6: Final answer
    x = 3,397.42

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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.