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Finding the Fourth Proportional to 7,792.26, 10,739.41 and 5,899.31

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Solution

The fourth proportional to 7,792.26, 10,739.41 and 5,899.31 is: 8,130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.26 : 10,739.41 = 5,899.31 : x
  2. Step 2: Convert to fraction form
    7,792.26/10,739.41 = 5,899.31/x
  3. Step 3: Cross multiply
    7,792.26x = 10,739.41 × 5,899.31
  4. Step 4: Simplify right side
    7,792.26x = 63,355,067.02
  5. Step 5: Solve for x
    x = 63,355,067.02/7,792.26
  6. Step 6: Final answer
    x = 8,130.52

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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.