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Finding the Fourth Proportional to 12,333.59, 17,009.00 and 8,083.11

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Solution

The fourth proportional to 12,333.59, 17,009.00 and 8,083.11 is: 11,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333.59 : 17,009.00 = 8,083.11 : x
  2. Step 2: Convert to fraction form
    12,333.59/17,009.00 = 8,083.11/x
  3. Step 3: Cross multiply
    12,333.59x = 17,009.00 × 8,083.11
  4. Step 4: Simplify right side
    12,333.59x = 137,485,512.74
  5. Step 5: Solve for x
    x = 137,485,512.74/12,333.59
  6. Step 6: Final answer
    x = 11,147.24

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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.