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Finding the Fourth Proportional to 5,273.91, 7,909.65 and 1,764.09

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Solution

The fourth proportional to 5,273.91, 7,909.65 and 1,764.09 is: 2,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.91 : 7,909.65 = 1,764.09 : x
  2. Step 2: Convert to fraction form
    5,273.91/7,909.65 = 1,764.09/x
  3. Step 3: Cross multiply
    5,273.91x = 7,909.65 × 1,764.09
  4. Step 4: Simplify right side
    5,273.91x = 13,953,334.47
  5. Step 5: Solve for x
    x = 13,953,334.47/5,273.91
  6. Step 6: Final answer
    x = 2,645.73

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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.