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Finding the Fourth Proportional to 6,469.92, 8,923.50 and 5,473.62

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Solution

The fourth proportional to 6,469.92, 8,923.50 and 5,473.62 is: 7,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.92 : 8,923.50 = 5,473.62 : x
  2. Step 2: Convert to fraction form
    6,469.92/8,923.50 = 5,473.62/x
  3. Step 3: Cross multiply
    6,469.92x = 8,923.50 × 5,473.62
  4. Step 4: Simplify right side
    6,469.92x = 48,843,848.07
  5. Step 5: Solve for x
    x = 48,843,848.07/6,469.92
  6. Step 6: Final answer
    x = 7,549.37

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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.