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Finding the Fourth Proportional to 13,099, 18,078.45 and 8,393.31

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Solution

The fourth proportional to 13,099, 18,078.45 and 8,393.31 is: 11,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099 : 18,078.45 = 8,393.31 : x
  2. Step 2: Convert to fraction form
    13,099/18,078.45 = 8,393.31/x
  3. Step 3: Cross multiply
    13,099x = 18,078.45 × 8,393.31
  4. Step 4: Simplify right side
    13,099x = 151,738,035.17
  5. Step 5: Solve for x
    x = 151,738,035.17/13,099
  6. Step 6: Final answer
    x = 11,583.94

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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.