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Finding the Fourth Proportional to 22,182.79, 33,275.78 and 6,984.05

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Solution

The fourth proportional to 22,182.79, 33,275.78 and 6,984.05 is: 10,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.79 : 33,275.78 = 6,984.05 : x
  2. Step 2: Convert to fraction form
    22,182.79/33,275.78 = 6,984.05/x
  3. Step 3: Cross multiply
    22,182.79x = 33,275.78 × 6,984.05
  4. Step 4: Simplify right side
    22,182.79x = 232,399,711.31
  5. Step 5: Solve for x
    x = 232,399,711.31/22,182.79
  6. Step 6: Final answer
    x = 10,476.58

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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.