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Finding the Fourth Proportional to 10,640.14, 14,676.94 and 6,657.98

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Solution

The fourth proportional to 10,640.14, 14,676.94 and 6,657.98 is: 9,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.14 : 14,676.94 = 6,657.98 : x
  2. Step 2: Convert to fraction form
    10,640.14/14,676.94 = 6,657.98/x
  3. Step 3: Cross multiply
    10,640.14x = 14,676.94 × 6,657.98
  4. Step 4: Simplify right side
    10,640.14x = 97,718,772.98
  5. Step 5: Solve for x
    x = 97,718,772.98/10,640.14
  6. Step 6: Final answer
    x = 9,183.97

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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.