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Finding the Fourth Proportional to 6,074.78, 9,097.81 and 4,749.25

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Solution

The fourth proportional to 6,074.78, 9,097.81 and 4,749.25 is: 7,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.78 : 9,097.81 = 4,749.25 : x
  2. Step 2: Convert to fraction form
    6,074.78/9,097.81 = 4,749.25/x
  3. Step 3: Cross multiply
    6,074.78x = 9,097.81 × 4,749.25
  4. Step 4: Simplify right side
    6,074.78x = 43,207,774.14
  5. Step 5: Solve for x
    x = 43,207,774.14/6,074.78
  6. Step 6: Final answer
    x = 7,112.65

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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.