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Finding the Fourth Proportional to 11,951.66, 16,492.14 and 6,914.88

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Solution

The fourth proportional to 11,951.66, 16,492.14 and 6,914.88 is: 9,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.66 : 16,492.14 = 6,914.88 : x
  2. Step 2: Convert to fraction form
    11,951.66/16,492.14 = 6,914.88/x
  3. Step 3: Cross multiply
    11,951.66x = 16,492.14 × 6,914.88
  4. Step 4: Simplify right side
    11,951.66x = 114,041,169.04
  5. Step 5: Solve for x
    x = 114,041,169.04/11,951.66
  6. Step 6: Final answer
    x = 9,541.87

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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.