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Finding the Fourth Proportional to 10,037.22, 13,867.11 and 6,910.08

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Solution

The fourth proportional to 10,037.22, 13,867.11 and 6,910.08 is: 9,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.22 : 13,867.11 = 6,910.08 : x
  2. Step 2: Convert to fraction form
    10,037.22/13,867.11 = 6,910.08/x
  3. Step 3: Cross multiply
    10,037.22x = 13,867.11 × 6,910.08
  4. Step 4: Simplify right side
    10,037.22x = 95,822,839.47
  5. Step 5: Solve for x
    x = 95,822,839.47/10,037.22
  6. Step 6: Final answer
    x = 9,546.75

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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.