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Finding the Fourth Proportional to 7,611.10, 10,462.97 and 6,544.94

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Solution

The fourth proportional to 7,611.10, 10,462.97 and 6,544.94 is: 8,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.10 : 10,462.97 = 6,544.94 : x
  2. Step 2: Convert to fraction form
    7,611.10/10,462.97 = 6,544.94/x
  3. Step 3: Cross multiply
    7,611.10x = 10,462.97 × 6,544.94
  4. Step 4: Simplify right side
    7,611.10x = 68,479,478.15
  5. Step 5: Solve for x
    x = 68,479,478.15/7,611.10
  6. Step 6: Final answer
    x = 8,997.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.