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Finding the Fourth Proportional to 12,497.31, 17,242.16 and 8,250.48

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Solution

The fourth proportional to 12,497.31, 17,242.16 and 8,250.48 is: 11,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.31 : 17,242.16 = 8,250.48 : x
  2. Step 2: Convert to fraction form
    12,497.31/17,242.16 = 8,250.48/x
  3. Step 3: Cross multiply
    12,497.31x = 17,242.16 × 8,250.48
  4. Step 4: Simplify right side
    12,497.31x = 142,256,054.98
  5. Step 5: Solve for x
    x = 142,256,054.98/12,497.31
  6. Step 6: Final answer
    x = 11,382.93

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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.