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Finding the Fourth Proportional to 6,092.78, 8,400.39 and 4,972.58

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Solution

The fourth proportional to 6,092.78, 8,400.39 and 4,972.58 is: 6,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.78 : 8,400.39 = 4,972.58 : x
  2. Step 2: Convert to fraction form
    6,092.78/8,400.39 = 4,972.58/x
  3. Step 3: Cross multiply
    6,092.78x = 8,400.39 × 4,972.58
  4. Step 4: Simplify right side
    6,092.78x = 41,771,611.31
  5. Step 5: Solve for x
    x = 41,771,611.31/6,092.78
  6. Step 6: Final answer
    x = 6,855.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.