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Finding the Fourth Proportional to 7,893.12, 10,893.27 and 5,900.22

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Solution

The fourth proportional to 7,893.12, 10,893.27 and 5,900.22 is: 8,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.12 : 10,893.27 = 5,900.22 : x
  2. Step 2: Convert to fraction form
    7,893.12/10,893.27 = 5,900.22/x
  3. Step 3: Cross multiply
    7,893.12x = 10,893.27 × 5,900.22
  4. Step 4: Simplify right side
    7,893.12x = 64,272,689.52
  5. Step 5: Solve for x
    x = 64,272,689.52/7,893.12
  6. Step 6: Final answer
    x = 8,142.87

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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.