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Finding the Fourth Proportional to 22,893.82, 34,341.34 and 7,311.44

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Solution

The fourth proportional to 22,893.82, 34,341.34 and 7,311.44 is: 10,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.82 : 34,341.34 = 7,311.44 : x
  2. Step 2: Convert to fraction form
    22,893.82/34,341.34 = 7,311.44/x
  3. Step 3: Cross multiply
    22,893.82x = 34,341.34 × 7,311.44
  4. Step 4: Simplify right side
    22,893.82x = 251,084,646.93
  5. Step 5: Solve for x
    x = 251,084,646.93/22,893.82
  6. Step 6: Final answer
    x = 10,967.35

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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.