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Finding the Fourth Proportional to 6,507.99, 9,741.03 and 4,288.68

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Solution

The fourth proportional to 6,507.99, 9,741.03 and 4,288.68 is: 6,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.99 : 9,741.03 = 4,288.68 : x
  2. Step 2: Convert to fraction form
    6,507.99/9,741.03 = 4,288.68/x
  3. Step 3: Cross multiply
    6,507.99x = 9,741.03 × 4,288.68
  4. Step 4: Simplify right side
    6,507.99x = 41,776,160.54
  5. Step 5: Solve for x
    x = 41,776,160.54/6,507.99
  6. Step 6: Final answer
    x = 6,419.21

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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.