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Finding the Fourth Proportional to 8,940.97, 13,402.22 and 5,827.06

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Solution

The fourth proportional to 8,940.97, 13,402.22 and 5,827.06 is: 8,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.97 : 13,402.22 = 5,827.06 : x
  2. Step 2: Convert to fraction form
    8,940.97/13,402.22 = 5,827.06/x
  3. Step 3: Cross multiply
    8,940.97x = 13,402.22 × 5,827.06
  4. Step 4: Simplify right side
    8,940.97x = 78,095,521.14
  5. Step 5: Solve for x
    x = 78,095,521.14/8,940.97
  6. Step 6: Final answer
    x = 8,734.57

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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.