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Finding the Fourth Proportional to 12,838.92, 17,726.42 and 8,312.51

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Solution

The fourth proportional to 12,838.92, 17,726.42 and 8,312.51 is: 11,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.92 : 17,726.42 = 8,312.51 : x
  2. Step 2: Convert to fraction form
    12,838.92/17,726.42 = 8,312.51/x
  3. Step 3: Cross multiply
    12,838.92x = 17,726.42 × 8,312.51
  4. Step 4: Simplify right side
    12,838.92x = 147,350,975.66
  5. Step 5: Solve for x
    x = 147,350,975.66/12,838.92
  6. Step 6: Final answer
    x = 11,476.90

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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.