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Finding the Fourth Proportional to 7,101.07, 9,799.67 and 4,076.44

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Solution

The fourth proportional to 7,101.07, 9,799.67 and 4,076.44 is: 5,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.07 : 9,799.67 = 4,076.44 : x
  2. Step 2: Convert to fraction form
    7,101.07/9,799.67 = 4,076.44/x
  3. Step 3: Cross multiply
    7,101.07x = 9,799.67 × 4,076.44
  4. Step 4: Simplify right side
    7,101.07x = 39,947,784.66
  5. Step 5: Solve for x
    x = 39,947,784.66/7,101.07
  6. Step 6: Final answer
    x = 5,625.60

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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.