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Finding the Fourth Proportional to 22,584.84, 33,876.95 and 7,002.46

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Solution

The fourth proportional to 22,584.84, 33,876.95 and 7,002.46 is: 10,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.84 : 33,876.95 = 7,002.46 : x
  2. Step 2: Convert to fraction form
    22,584.84/33,876.95 = 7,002.46/x
  3. Step 3: Cross multiply
    22,584.84x = 33,876.95 × 7,002.46
  4. Step 4: Simplify right side
    22,584.84x = 237,221,952.28
  5. Step 5: Solve for x
    x = 237,221,952.28/22,584.84
  6. Step 6: Final answer
    x = 10,503.59

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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.