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Finding the Fourth Proportional to 10,694.14, 14,758.14 and 5,978.32

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Solution

The fourth proportional to 10,694.14, 14,758.14 and 5,978.32 is: 8,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.14 : 14,758.14 = 5,978.32 : x
  2. Step 2: Convert to fraction form
    10,694.14/14,758.14 = 5,978.32/x
  3. Step 3: Cross multiply
    10,694.14x = 14,758.14 × 5,978.32
  4. Step 4: Simplify right side
    10,694.14x = 88,228,883.52
  5. Step 5: Solve for x
    x = 88,228,883.52/10,694.14
  6. Step 6: Final answer
    x = 8,250.21

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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.