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Finding the Fourth Proportional to 23,446.84, 35,166.42 and 7,027

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Solution

The fourth proportional to 23,446.84, 35,166.42 and 7,027 is: 10,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.84 : 35,166.42 = 7,027 : x
  2. Step 2: Convert to fraction form
    23,446.84/35,166.42 = 7,027/x
  3. Step 3: Cross multiply
    23,446.84x = 35,166.42 × 7,027
  4. Step 4: Simplify right side
    23,446.84x = 247,114,433.34
  5. Step 5: Solve for x
    x = 247,114,433.34/23,446.84
  6. Step 6: Final answer
    x = 10,539.35

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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.