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Finding the Fourth Proportional to 6,575.91, 9,866.17 and 4,107.84

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Solution

The fourth proportional to 6,575.91, 9,866.17 and 4,107.84 is: 6,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.91 : 9,866.17 = 4,107.84 : x
  2. Step 2: Convert to fraction form
    6,575.91/9,866.17 = 4,107.84/x
  3. Step 3: Cross multiply
    6,575.91x = 9,866.17 × 4,107.84
  4. Step 4: Simplify right side
    6,575.91x = 40,528,627.23
  5. Step 5: Solve for x
    x = 40,528,627.23/6,575.91
  6. Step 6: Final answer
    x = 6,163.20

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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.