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Finding the Fourth Proportional to 6,448.73, 8,898.62 and 3,616.22

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Solution

The fourth proportional to 6,448.73, 8,898.62 and 3,616.22 is: 4,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.73 : 8,898.62 = 3,616.22 : x
  2. Step 2: Convert to fraction form
    6,448.73/8,898.62 = 3,616.22/x
  3. Step 3: Cross multiply
    6,448.73x = 8,898.62 × 3,616.22
  4. Step 4: Simplify right side
    6,448.73x = 32,179,342.07
  5. Step 5: Solve for x
    x = 32,179,342.07/6,448.73
  6. Step 6: Final answer
    x = 4,990.03

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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.