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Finding the Fourth Proportional to 6,131.58, 9,205.14 and 5,104.14

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Solution

The fourth proportional to 6,131.58, 9,205.14 and 5,104.14 is: 7,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.58 : 9,205.14 = 5,104.14 : x
  2. Step 2: Convert to fraction form
    6,131.58/9,205.14 = 5,104.14/x
  3. Step 3: Cross multiply
    6,131.58x = 9,205.14 × 5,104.14
  4. Step 4: Simplify right side
    6,131.58x = 46,984,323.28
  5. Step 5: Solve for x
    x = 46,984,323.28/6,131.58
  6. Step 6: Final answer
    x = 7,662.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.