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Finding the Fourth Proportional to 22,705.44, 34,057.35 and 7,914.30

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Solution

The fourth proportional to 22,705.44, 34,057.35 and 7,914.30 is: 11,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.44 : 34,057.35 = 7,914.30 : x
  2. Step 2: Convert to fraction form
    22,705.44/34,057.35 = 7,914.30/x
  3. Step 3: Cross multiply
    22,705.44x = 34,057.35 × 7,914.30
  4. Step 4: Simplify right side
    22,705.44x = 269,540,085.11
  5. Step 5: Solve for x
    x = 269,540,085.11/22,705.44
  6. Step 6: Final answer
    x = 11,871.17

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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.