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Finding the Fourth Proportional to 11,959.49, 16,502.22 and 6,922.72

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Solution

The fourth proportional to 11,959.49, 16,502.22 and 6,922.72 is: 9,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.49 : 16,502.22 = 6,922.72 : x
  2. Step 2: Convert to fraction form
    11,959.49/16,502.22 = 6,922.72/x
  3. Step 3: Cross multiply
    11,959.49x = 16,502.22 × 6,922.72
  4. Step 4: Simplify right side
    11,959.49x = 114,240,295.03
  5. Step 5: Solve for x
    x = 114,240,295.03/11,959.49
  6. Step 6: Final answer
    x = 9,552.28

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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.