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Finding the Fourth Proportional to 12,315.25, 16,995.14 and 6,726.25

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Solution

The fourth proportional to 12,315.25, 16,995.14 and 6,726.25 is: 9,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.25 : 16,995.14 = 6,726.25 : x
  2. Step 2: Convert to fraction form
    12,315.25/16,995.14 = 6,726.25/x
  3. Step 3: Cross multiply
    12,315.25x = 16,995.14 × 6,726.25
  4. Step 4: Simplify right side
    12,315.25x = 114,313,560.43
  5. Step 5: Solve for x
    x = 114,313,560.43/12,315.25
  6. Step 6: Final answer
    x = 9,282.28

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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.