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Finding the Fourth Proportional to 7,091.59, 9,785.81 and 4,107.60

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Solution

The fourth proportional to 7,091.59, 9,785.81 and 4,107.60 is: 5,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.59 : 9,785.81 = 4,107.60 : x
  2. Step 2: Convert to fraction form
    7,091.59/9,785.81 = 4,107.60/x
  3. Step 3: Cross multiply
    7,091.59x = 9,785.81 × 4,107.60
  4. Step 4: Simplify right side
    7,091.59x = 40,196,193.16
  5. Step 5: Solve for x
    x = 40,196,193.16/7,091.59
  6. Step 6: Final answer
    x = 5,668.15

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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.