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Finding the Fourth Proportional to 10,694.80, 14,756.08 and 6,664.80

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Solution

The fourth proportional to 10,694.80, 14,756.08 and 6,664.80 is: 9,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.80 : 14,756.08 = 6,664.80 : x
  2. Step 2: Convert to fraction form
    10,694.80/14,756.08 = 6,664.80/x
  3. Step 3: Cross multiply
    10,694.80x = 14,756.08 × 6,664.80
  4. Step 4: Simplify right side
    10,694.80x = 98,346,321.98
  5. Step 5: Solve for x
    x = 98,346,321.98/10,694.80
  6. Step 6: Final answer
    x = 9,195.71

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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.