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Finding the Fourth Proportional to 11,615.14, 16,028.97 and 6,310.00

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Solution

The fourth proportional to 11,615.14, 16,028.97 and 6,310.00 is: 8,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.14 : 16,028.97 = 6,310.00 : x
  2. Step 2: Convert to fraction form
    11,615.14/16,028.97 = 6,310.00/x
  3. Step 3: Cross multiply
    11,615.14x = 16,028.97 × 6,310.00
  4. Step 4: Simplify right side
    11,615.14x = 101,142,720.56
  5. Step 5: Solve for x
    x = 101,142,720.56/11,615.14
  6. Step 6: Final answer
    x = 8,707.83

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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.