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Finding the Fourth Proportional to 10,858.14, 16,287.21 and 6,965.28

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Solution

The fourth proportional to 10,858.14, 16,287.21 and 6,965.28 is: 10,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.14 : 16,287.21 = 6,965.28 : x
  2. Step 2: Convert to fraction form
    10,858.14/16,287.21 = 6,965.28/x
  3. Step 3: Cross multiply
    10,858.14x = 16,287.21 × 6,965.28
  4. Step 4: Simplify right side
    10,858.14x = 113,444,978.07
  5. Step 5: Solve for x
    x = 113,444,978.07/10,858.14
  6. Step 6: Final answer
    x = 10,447.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.