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Finding the Fourth Proportional to 8,155.97, 11,239.48 and 5,794.01

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Solution

The fourth proportional to 8,155.97, 11,239.48 and 5,794.01 is: 7,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.97 : 11,239.48 = 5,794.01 : x
  2. Step 2: Convert to fraction form
    8,155.97/11,239.48 = 5,794.01/x
  3. Step 3: Cross multiply
    8,155.97x = 11,239.48 × 5,794.01
  4. Step 4: Simplify right side
    8,155.97x = 65,121,715.93
  5. Step 5: Solve for x
    x = 65,121,715.93/8,155.97
  6. Step 6: Final answer
    x = 7,984.54

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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.