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Finding the Fourth Proportional to 22,569.93, 33,856.79 and 7,772.85

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Solution

The fourth proportional to 22,569.93, 33,856.79 and 7,772.85 is: 11,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.93 : 33,856.79 = 7,772.85 : x
  2. Step 2: Convert to fraction form
    22,569.93/33,856.79 = 7,772.85/x
  3. Step 3: Cross multiply
    22,569.93x = 33,856.79 × 7,772.85
  4. Step 4: Simplify right side
    22,569.93x = 263,163,711.29
  5. Step 5: Solve for x
    x = 263,163,711.29/22,569.93
  6. Step 6: Final answer
    x = 11,659.93

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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.