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Finding the Fourth Proportional to 6,847.46, 9,449.63 and 4,017

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Solution

The fourth proportional to 6,847.46, 9,449.63 and 4,017 is: 5,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.46 : 9,449.63 = 4,017 : x
  2. Step 2: Convert to fraction form
    6,847.46/9,449.63 = 4,017/x
  3. Step 3: Cross multiply
    6,847.46x = 9,449.63 × 4,017
  4. Step 4: Simplify right side
    6,847.46x = 37,959,163.71
  5. Step 5: Solve for x
    x = 37,959,163.71/6,847.46
  6. Step 6: Final answer
    x = 5,543.54

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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.