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Finding the Fourth Proportional to 6,404.47, 9,609.53 and 2,709.25

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Solution

The fourth proportional to 6,404.47, 9,609.53 and 2,709.25 is: 4,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.47 : 9,609.53 = 2,709.25 : x
  2. Step 2: Convert to fraction form
    6,404.47/9,609.53 = 2,709.25/x
  3. Step 3: Cross multiply
    6,404.47x = 9,609.53 × 2,709.25
  4. Step 4: Simplify right side
    6,404.47x = 26,034,619.15
  5. Step 5: Solve for x
    x = 26,034,619.15/6,404.47
  6. Step 6: Final answer
    x = 4,065.07

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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.