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Finding the Fourth Proportional to 27,611.44, 41,417.16 and 6,834.94

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Solution

The fourth proportional to 27,611.44, 41,417.16 and 6,834.94 is: 10,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,611.44 : 41,417.16 = 6,834.94 : x
  2. Step 2: Convert to fraction form
    27,611.44/41,417.16 = 6,834.94/x
  3. Step 3: Cross multiply
    27,611.44x = 41,417.16 × 6,834.94
  4. Step 4: Simplify right side
    27,611.44x = 283,083,674.40
  5. Step 5: Solve for x
    x = 283,083,674.40/27,611.44
  6. Step 6: Final answer
    x = 10,252.41

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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.