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Finding the Fourth Proportional to 4,782.78, 7,174.35 and 1,662.66

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Solution

The fourth proportional to 4,782.78, 7,174.35 and 1,662.66 is: 2,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.78 : 7,174.35 = 1,662.66 : x
  2. Step 2: Convert to fraction form
    4,782.78/7,174.35 = 1,662.66/x
  3. Step 3: Cross multiply
    4,782.78x = 7,174.35 × 1,662.66
  4. Step 4: Simplify right side
    4,782.78x = 11,928,504.77
  5. Step 5: Solve for x
    x = 11,928,504.77/4,782.78
  6. Step 6: Final answer
    x = 2,494.05

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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.