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Finding the Fourth Proportional to 7,091.28, 9,785.88 and 3,904.56

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Solution

The fourth proportional to 7,091.28, 9,785.88 and 3,904.56 is: 5,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.28 : 9,785.88 = 3,904.56 : x
  2. Step 2: Convert to fraction form
    7,091.28/9,785.88 = 3,904.56/x
  3. Step 3: Cross multiply
    7,091.28x = 9,785.88 × 3,904.56
  4. Step 4: Simplify right side
    7,091.28x = 38,209,555.61
  5. Step 5: Solve for x
    x = 38,209,555.61/7,091.28
  6. Step 6: Final answer
    x = 5,388.25

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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.