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Finding the Fourth Proportional to 12,326.24, 17,010.24 and 6,737.60

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Solution

The fourth proportional to 12,326.24, 17,010.24 and 6,737.60 is: 9,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.24 : 17,010.24 = 6,737.60 : x
  2. Step 2: Convert to fraction form
    12,326.24/17,010.24 = 6,737.60/x
  3. Step 3: Cross multiply
    12,326.24x = 17,010.24 × 6,737.60
  4. Step 4: Simplify right side
    12,326.24x = 114,608,193.02
  5. Step 5: Solve for x
    x = 114,608,193.02/12,326.24
  6. Step 6: Final answer
    x = 9,297.90

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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.