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Finding the Fourth Proportional to 11,754.92, 16,223.20 and 6,719.88

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Solution

The fourth proportional to 11,754.92, 16,223.20 and 6,719.88 is: 9,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.92 : 16,223.20 = 6,719.88 : x
  2. Step 2: Convert to fraction form
    11,754.92/16,223.20 = 6,719.88/x
  3. Step 3: Cross multiply
    11,754.92x = 16,223.20 × 6,719.88
  4. Step 4: Simplify right side
    11,754.92x = 109,017,957.22
  5. Step 5: Solve for x
    x = 109,017,957.22/11,754.92
  6. Step 6: Final answer
    x = 9,274.24

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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.