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Finding the Fourth Proportional to 10,094.22, 13,930.79 and 5,619.11

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Solution

The fourth proportional to 10,094.22, 13,930.79 and 5,619.11 is: 7,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.22 : 13,930.79 = 5,619.11 : x
  2. Step 2: Convert to fraction form
    10,094.22/13,930.79 = 5,619.11/x
  3. Step 3: Cross multiply
    10,094.22x = 13,930.79 × 5,619.11
  4. Step 4: Simplify right side
    10,094.22x = 78,278,543.65
  5. Step 5: Solve for x
    x = 78,278,543.65/10,094.22
  6. Step 6: Final answer
    x = 7,754.79

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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.