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Finding the Fourth Proportional to 9,645.71, 14,464.90 and 3,404.56

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Solution

The fourth proportional to 9,645.71, 14,464.90 and 3,404.56 is: 5,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.71 : 14,464.90 = 3,404.56 : x
  2. Step 2: Convert to fraction form
    9,645.71/14,464.90 = 3,404.56/x
  3. Step 3: Cross multiply
    9,645.71x = 14,464.90 × 3,404.56
  4. Step 4: Simplify right side
    9,645.71x = 49,246,602.92
  5. Step 5: Solve for x
    x = 49,246,602.92/9,645.71
  6. Step 6: Final answer
    x = 5,105.54

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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.