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Finding the Fourth Proportional to 22,917.84, 34,380.40 and 9,770.32

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Solution

The fourth proportional to 22,917.84, 34,380.40 and 9,770.32 is: 14,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.84 : 34,380.40 = 9,770.32 : x
  2. Step 2: Convert to fraction form
    22,917.84/34,380.40 = 9,770.32/x
  3. Step 3: Cross multiply
    22,917.84x = 34,380.40 × 9,770.32
  4. Step 4: Simplify right side
    22,917.84x = 335,907,546.60
  5. Step 5: Solve for x
    x = 335,907,546.60/22,917.84
  6. Step 6: Final answer
    x = 14,657.04

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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.