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Finding the Fourth Proportional to 6,351.84, 9,528.12 and 1,969.44

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Solution

The fourth proportional to 6,351.84, 9,528.12 and 1,969.44 is: 2,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.84 : 9,528.12 = 1,969.44 : x
  2. Step 2: Convert to fraction form
    6,351.84/9,528.12 = 1,969.44/x
  3. Step 3: Cross multiply
    6,351.84x = 9,528.12 × 1,969.44
  4. Step 4: Simplify right side
    6,351.84x = 18,765,060.65
  5. Step 5: Solve for x
    x = 18,765,060.65/6,351.84
  6. Step 6: Final answer
    x = 2,954.27

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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.