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Finding the Fourth Proportional to 22,306.76, 33,464.46 and 8,465.48

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Solution

The fourth proportional to 22,306.76, 33,464.46 and 8,465.48 is: 12,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.76 : 33,464.46 = 8,465.48 : x
  2. Step 2: Convert to fraction form
    22,306.76/33,464.46 = 8,465.48/x
  3. Step 3: Cross multiply
    22,306.76x = 33,464.46 × 8,465.48
  4. Step 4: Simplify right side
    22,306.76x = 283,292,716.84
  5. Step 5: Solve for x
    x = 283,292,716.84/22,306.76
  6. Step 6: Final answer
    x = 12,699.86

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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.