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Finding the Fourth Proportional to 22,531.98, 33,798.06 and 7,745.16

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Solution

The fourth proportional to 22,531.98, 33,798.06 and 7,745.16 is: 11,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.98 : 33,798.06 = 7,745.16 : x
  2. Step 2: Convert to fraction form
    22,531.98/33,798.06 = 7,745.16/x
  3. Step 3: Cross multiply
    22,531.98x = 33,798.06 × 7,745.16
  4. Step 4: Simplify right side
    22,531.98x = 261,771,382.39
  5. Step 5: Solve for x
    x = 261,771,382.39/22,531.98
  6. Step 6: Final answer
    x = 11,617.77

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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.