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Finding the Fourth Proportional to 22,533, 33,776.82 and 9,392.64

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Solution

The fourth proportional to 22,533, 33,776.82 and 9,392.64 is: 14,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533 : 33,776.82 = 9,392.64 : x
  2. Step 2: Convert to fraction form
    22,533/33,776.82 = 9,392.64/x
  3. Step 3: Cross multiply
    22,533x = 33,776.82 × 9,392.64
  4. Step 4: Simplify right side
    22,533x = 317,253,510.60
  5. Step 5: Solve for x
    x = 317,253,510.60/22,533
  6. Step 6: Final answer
    x = 14,079.51

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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.