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Finding the Fourth Proportional to 8,390.76, 11,579.52 and 4,614.09

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Solution

The fourth proportional to 8,390.76, 11,579.52 and 4,614.09 is: 6,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.76 : 11,579.52 = 4,614.09 : x
  2. Step 2: Convert to fraction form
    8,390.76/11,579.52 = 4,614.09/x
  3. Step 3: Cross multiply
    8,390.76x = 11,579.52 × 4,614.09
  4. Step 4: Simplify right side
    8,390.76x = 53,428,947.44
  5. Step 5: Solve for x
    x = 53,428,947.44/8,390.76
  6. Step 6: Final answer
    x = 6,367.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.