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Finding the Fourth Proportional to 6,501.25, 9,716.09 and 4,749.90

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Solution

The fourth proportional to 6,501.25, 9,716.09 and 4,749.90 is: 7,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.25 : 9,716.09 = 4,749.90 : x
  2. Step 2: Convert to fraction form
    6,501.25/9,716.09 = 4,749.90/x
  3. Step 3: Cross multiply
    6,501.25x = 9,716.09 × 4,749.90
  4. Step 4: Simplify right side
    6,501.25x = 46,150,455.89
  5. Step 5: Solve for x
    x = 46,150,455.89/6,501.25
  6. Step 6: Final answer
    x = 7,098.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.