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Finding the Fourth Proportional to 12,496.71, 17,238.96 and 8,463.66

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Solution

The fourth proportional to 12,496.71, 17,238.96 and 8,463.66 is: 11,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.71 : 17,238.96 = 8,463.66 : x
  2. Step 2: Convert to fraction form
    12,496.71/17,238.96 = 8,463.66/x
  3. Step 3: Cross multiply
    12,496.71x = 17,238.96 × 8,463.66
  4. Step 4: Simplify right side
    12,496.71x = 145,904,696.19
  5. Step 5: Solve for x
    x = 145,904,696.19/12,496.71
  6. Step 6: Final answer
    x = 11,675.45

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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.