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Finding the Fourth Proportional to 8,093.90, 12,122.03 and 7,813.29

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Solution

The fourth proportional to 8,093.90, 12,122.03 and 7,813.29 is: 11,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.90 : 12,122.03 = 7,813.29 : x
  2. Step 2: Convert to fraction form
    8,093.90/12,122.03 = 7,813.29/x
  3. Step 3: Cross multiply
    8,093.90x = 12,122.03 × 7,813.29
  4. Step 4: Simplify right side
    8,093.90x = 94,712,876.52
  5. Step 5: Solve for x
    x = 94,712,876.52/8,093.90
  6. Step 6: Final answer
    x = 11,701.76

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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.