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Finding the Fourth Proportional to 6,464.96, 9,703.38 and 5,013.44

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Solution

The fourth proportional to 6,464.96, 9,703.38 and 5,013.44 is: 7,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.96 : 9,703.38 = 5,013.44 : x
  2. Step 2: Convert to fraction form
    6,464.96/9,703.38 = 5,013.44/x
  3. Step 3: Cross multiply
    6,464.96x = 9,703.38 × 5,013.44
  4. Step 4: Simplify right side
    6,464.96x = 48,647,313.43
  5. Step 5: Solve for x
    x = 48,647,313.43/6,464.96
  6. Step 6: Final answer
    x = 7,524.77

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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.