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Finding the Fourth Proportional to 7,091.07, 9,786 and 3,947.25

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Solution

The fourth proportional to 7,091.07, 9,786 and 3,947.25 is: 5,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.07 : 9,786 = 3,947.25 : x
  2. Step 2: Convert to fraction form
    7,091.07/9,786 = 3,947.25/x
  3. Step 3: Cross multiply
    7,091.07x = 9,786 × 3,947.25
  4. Step 4: Simplify right side
    7,091.07x = 38,627,788.50
  5. Step 5: Solve for x
    x = 38,627,788.50/7,091.07
  6. Step 6: Final answer
    x = 5,447.39

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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.