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Finding the Fourth Proportional to 7,676.50, 10,589.25 and 5,023.30

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Solution

The fourth proportional to 7,676.50, 10,589.25 and 5,023.30 is: 6,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.50 : 10,589.25 = 5,023.30 : x
  2. Step 2: Convert to fraction form
    7,676.50/10,589.25 = 5,023.30/x
  3. Step 3: Cross multiply
    7,676.50x = 10,589.25 × 5,023.30
  4. Step 4: Simplify right side
    7,676.50x = 53,192,979.53
  5. Step 5: Solve for x
    x = 53,192,979.53/7,676.50
  6. Step 6: Final answer
    x = 6,929.33

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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.