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Finding the Fourth Proportional to 7,175.46, 9,910.14 and 6,825.54

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Solution

The fourth proportional to 7,175.46, 9,910.14 and 6,825.54 is: 9,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.46 : 9,910.14 = 6,825.54 : x
  2. Step 2: Convert to fraction form
    7,175.46/9,910.14 = 6,825.54/x
  3. Step 3: Cross multiply
    7,175.46x = 9,910.14 × 6,825.54
  4. Step 4: Simplify right side
    7,175.46x = 67,642,056.98
  5. Step 5: Solve for x
    x = 67,642,056.98/7,175.46
  6. Step 6: Final answer
    x = 9,426.86

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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.