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Finding the Fourth Proportional to 4,661.57, 6,994.70 and 2,906.12

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Solution

The fourth proportional to 4,661.57, 6,994.70 and 2,906.12 is: 4,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.57 : 6,994.70 = 2,906.12 : x
  2. Step 2: Convert to fraction form
    4,661.57/6,994.70 = 2,906.12/x
  3. Step 3: Cross multiply
    4,661.57x = 6,994.70 × 2,906.12
  4. Step 4: Simplify right side
    4,661.57x = 20,327,388.06
  5. Step 5: Solve for x
    x = 20,327,388.06/4,661.57
  6. Step 6: Final answer
    x = 4,360.64

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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.