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Finding the Fourth Proportional to 6,972.44, 9,622 and 3,828.63

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Solution

The fourth proportional to 6,972.44, 9,622 and 3,828.63 is: 5,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.44 : 9,622 = 3,828.63 : x
  2. Step 2: Convert to fraction form
    6,972.44/9,622 = 3,828.63/x
  3. Step 3: Cross multiply
    6,972.44x = 9,622 × 3,828.63
  4. Step 4: Simplify right side
    6,972.44x = 36,839,077.86
  5. Step 5: Solve for x
    x = 36,839,077.86/6,972.44
  6. Step 6: Final answer
    x = 5,283.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.