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Finding the Fourth Proportional to 7,076.83, 9,764.94 and 4,092.09

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Solution

The fourth proportional to 7,076.83, 9,764.94 and 4,092.09 is: 5,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.83 : 9,764.94 = 4,092.09 : x
  2. Step 2: Convert to fraction form
    7,076.83/9,764.94 = 4,092.09/x
  3. Step 3: Cross multiply
    7,076.83x = 9,764.94 × 4,092.09
  4. Step 4: Simplify right side
    7,076.83x = 39,959,013.32
  5. Step 5: Solve for x
    x = 39,959,013.32/7,076.83
  6. Step 6: Final answer
    x = 5,646.46

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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.