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Finding the Fourth Proportional to 6,507.36, 9,759.42 and 2,609.64

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Solution

The fourth proportional to 6,507.36, 9,759.42 and 2,609.64 is: 3,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.36 : 9,759.42 = 2,609.64 : x
  2. Step 2: Convert to fraction form
    6,507.36/9,759.42 = 2,609.64/x
  3. Step 3: Cross multiply
    6,507.36x = 9,759.42 × 2,609.64
  4. Step 4: Simplify right side
    6,507.36x = 25,468,572.81
  5. Step 5: Solve for x
    x = 25,468,572.81/6,507.36
  6. Step 6: Final answer
    x = 3,913.81

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1.5x scale

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.