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Finding the Fourth Proportional to 22,576.52, 33,866.40 and 7,785.22

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Solution

The fourth proportional to 22,576.52, 33,866.40 and 7,785.22 is: 11,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.52 : 33,866.40 = 7,785.22 : x
  2. Step 2: Convert to fraction form
    22,576.52/33,866.40 = 7,785.22/x
  3. Step 3: Cross multiply
    22,576.52x = 33,866.40 × 7,785.22
  4. Step 4: Simplify right side
    22,576.52x = 263,657,355.14
  5. Step 5: Solve for x
    x = 263,657,355.14/22,576.52
  6. Step 6: Final answer
    x = 11,678.39

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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.