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Finding the Fourth Proportional to 10,694.64, 14,765.49 and 6,919.68

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Solution

The fourth proportional to 10,694.64, 14,765.49 and 6,919.68 is: 9,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.64 : 14,765.49 = 6,919.68 : x
  2. Step 2: Convert to fraction form
    10,694.64/14,765.49 = 6,919.68/x
  3. Step 3: Cross multiply
    10,694.64x = 14,765.49 × 6,919.68
  4. Step 4: Simplify right side
    10,694.64x = 102,172,465.84
  5. Step 5: Solve for x
    x = 102,172,465.84/10,694.64
  6. Step 6: Final answer
    x = 9,553.61

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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.