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Finding the Fourth Proportional to 6,963.71, 10,444.37 and 1,966.43

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Solution

The fourth proportional to 6,963.71, 10,444.37 and 1,966.43 is: 2,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.71 : 10,444.37 = 1,966.43 : x
  2. Step 2: Convert to fraction form
    6,963.71/10,444.37 = 1,966.43/x
  3. Step 3: Cross multiply
    6,963.71x = 10,444.37 × 1,966.43
  4. Step 4: Simplify right side
    6,963.71x = 20,538,153.53
  5. Step 5: Solve for x
    x = 20,538,153.53/6,963.71
  6. Step 6: Final answer
    x = 2,949.31

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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.