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Finding the Fourth Proportional to 22,647.88, 33,945.90 and 8,785

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Solution

The fourth proportional to 22,647.88, 33,945.90 and 8,785 is: 13,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.88 : 33,945.90 = 8,785 : x
  2. Step 2: Convert to fraction form
    22,647.88/33,945.90 = 8,785/x
  3. Step 3: Cross multiply
    22,647.88x = 33,945.90 × 8,785
  4. Step 4: Simplify right side
    22,647.88x = 298,214,731.50
  5. Step 5: Solve for x
    x = 298,214,731.50/22,647.88
  6. Step 6: Final answer
    x = 13,167.45

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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.