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Finding the Fourth Proportional to 11,447.88, 15,797.86 and 6,412.05

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Solution

The fourth proportional to 11,447.88, 15,797.86 and 6,412.05 is: 8,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.88 : 15,797.86 = 6,412.05 : x
  2. Step 2: Convert to fraction form
    11,447.88/15,797.86 = 6,412.05/x
  3. Step 3: Cross multiply
    11,447.88x = 15,797.86 × 6,412.05
  4. Step 4: Simplify right side
    11,447.88x = 101,296,668.21
  5. Step 5: Solve for x
    x = 101,296,668.21/11,447.88
  6. Step 6: Final answer
    x = 8,848.51

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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.