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Finding the Fourth Proportional to 6,509.97, 9,751.91 and 2,995.08

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Solution

The fourth proportional to 6,509.97, 9,751.91 and 2,995.08 is: 4,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.97 : 9,751.91 = 2,995.08 : x
  2. Step 2: Convert to fraction form
    6,509.97/9,751.91 = 2,995.08/x
  3. Step 3: Cross multiply
    6,509.97x = 9,751.91 × 2,995.08
  4. Step 4: Simplify right side
    6,509.97x = 29,207,735.63
  5. Step 5: Solve for x
    x = 29,207,735.63/6,509.97
  6. Step 6: Final answer
    x = 4,486.62

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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.