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Finding the Fourth Proportional to 10,999.30, 16,498.95 and 8,083.30

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Solution

The fourth proportional to 10,999.30, 16,498.95 and 8,083.30 is: 12,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.30 : 16,498.95 = 8,083.30 : x
  2. Step 2: Convert to fraction form
    10,999.30/16,498.95 = 8,083.30/x
  3. Step 3: Cross multiply
    10,999.30x = 16,498.95 × 8,083.30
  4. Step 4: Simplify right side
    10,999.30x = 133,365,962.54
  5. Step 5: Solve for x
    x = 133,365,962.54/10,999.30
  6. Step 6: Final answer
    x = 12,124.95

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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.