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Finding the Fourth Proportional to 6,469.48, 8,927.94 and 3,637

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Solution

The fourth proportional to 6,469.48, 8,927.94 and 3,637 is: 5,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.48 : 8,927.94 = 3,637 : x
  2. Step 2: Convert to fraction form
    6,469.48/8,927.94 = 3,637/x
  3. Step 3: Cross multiply
    6,469.48x = 8,927.94 × 3,637
  4. Step 4: Simplify right side
    6,469.48x = 32,470,917.78
  5. Step 5: Solve for x
    x = 32,470,917.78/6,469.48
  6. Step 6: Final answer
    x = 5,019.09

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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.