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Finding the Fourth Proportional to 6,107.94, 9,156.78 and 5,566.32

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Solution

The fourth proportional to 6,107.94, 9,156.78 and 5,566.32 is: 8,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.94 : 9,156.78 = 5,566.32 : x
  2. Step 2: Convert to fraction form
    6,107.94/9,156.78 = 5,566.32/x
  3. Step 3: Cross multiply
    6,107.94x = 9,156.78 × 5,566.32
  4. Step 4: Simplify right side
    6,107.94x = 50,969,567.65
  5. Step 5: Solve for x
    x = 50,969,567.65/6,107.94
  6. Step 6: Final answer
    x = 8,344.80

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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.