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Finding the Fourth Proportional to 7,967.96, 11,957.22 and 5,338.29

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Solution

The fourth proportional to 7,967.96, 11,957.22 and 5,338.29 is: 8,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.96 : 11,957.22 = 5,338.29 : x
  2. Step 2: Convert to fraction form
    7,967.96/11,957.22 = 5,338.29/x
  3. Step 3: Cross multiply
    7,967.96x = 11,957.22 × 5,338.29
  4. Step 4: Simplify right side
    7,967.96x = 63,831,107.95
  5. Step 5: Solve for x
    x = 63,831,107.95/7,967.96
  6. Step 6: Final answer
    x = 8,010.98

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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.