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Finding the Fourth Proportional to 6,124.71, 9,184.21 and 1,963.78

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Solution

The fourth proportional to 6,124.71, 9,184.21 and 1,963.78 is: 2,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.71 : 9,184.21 = 1,963.78 : x
  2. Step 2: Convert to fraction form
    6,124.71/9,184.21 = 1,963.78/x
  3. Step 3: Cross multiply
    6,124.71x = 9,184.21 × 1,963.78
  4. Step 4: Simplify right side
    6,124.71x = 18,035,767.91
  5. Step 5: Solve for x
    x = 18,035,767.91/6,124.71
  6. Step 6: Final answer
    x = 2,944.75

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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.