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Finding the Fourth Proportional to 7,091.01, 9,785.75 and 3,947.40

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Solution

The fourth proportional to 7,091.01, 9,785.75 and 3,947.40 is: 5,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.01 : 9,785.75 = 3,947.40 : x
  2. Step 2: Convert to fraction form
    7,091.01/9,785.75 = 3,947.40/x
  3. Step 3: Cross multiply
    7,091.01x = 9,785.75 × 3,947.40
  4. Step 4: Simplify right side
    7,091.01x = 38,628,249.81
  5. Step 5: Solve for x
    x = 38,628,249.81/7,091.01
  6. Step 6: Final answer
    x = 5,447.50

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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.