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Finding the Fourth Proportional to 22,645.94, 33,968.90 and 7,854.86

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Solution

The fourth proportional to 22,645.94, 33,968.90 and 7,854.86 is: 11,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.94 : 33,968.90 = 7,854.86 : x
  2. Step 2: Convert to fraction form
    22,645.94/33,968.90 = 7,854.86/x
  3. Step 3: Cross multiply
    22,645.94x = 33,968.90 × 7,854.86
  4. Step 4: Simplify right side
    22,645.94x = 266,821,058.41
  5. Step 5: Solve for x
    x = 266,821,058.41/22,645.94
  6. Step 6: Final answer
    x = 11,782.29

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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.