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Finding the Fourth Proportional to 10,083.88, 15,057.86 and 8,238.64

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Solution

The fourth proportional to 10,083.88, 15,057.86 and 8,238.64 is: 12,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.88 : 15,057.86 = 8,238.64 : x
  2. Step 2: Convert to fraction form
    10,083.88/15,057.86 = 8,238.64/x
  3. Step 3: Cross multiply
    10,083.88x = 15,057.86 × 8,238.64
  4. Step 4: Simplify right side
    10,083.88x = 124,056,287.71
  5. Step 5: Solve for x
    x = 124,056,287.71/10,083.88
  6. Step 6: Final answer
    x = 12,302.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.