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Finding the Fourth Proportional to 11,710.27, 16,160.11 and 6,674.70

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Solution

The fourth proportional to 11,710.27, 16,160.11 and 6,674.70 is: 9,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.27 : 16,160.11 = 6,674.70 : x
  2. Step 2: Convert to fraction form
    11,710.27/16,160.11 = 6,674.70/x
  3. Step 3: Cross multiply
    11,710.27x = 16,160.11 × 6,674.70
  4. Step 4: Simplify right side
    11,710.27x = 107,863,930.13
  5. Step 5: Solve for x
    x = 107,863,930.13/11,710.27
  6. Step 6: Final answer
    x = 9,211.05

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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.