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Finding the Fourth Proportional to 7,902.64, 11,850.04 and 4,616.56

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Solution

The fourth proportional to 7,902.64, 11,850.04 and 4,616.56 is: 6,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.64 : 11,850.04 = 4,616.56 : x
  2. Step 2: Convert to fraction form
    7,902.64/11,850.04 = 4,616.56/x
  3. Step 3: Cross multiply
    7,902.64x = 11,850.04 × 4,616.56
  4. Step 4: Simplify right side
    7,902.64x = 54,706,420.66
  5. Step 5: Solve for x
    x = 54,706,420.66/7,902.64
  6. Step 6: Final answer
    x = 6,922.55

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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.