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Finding the Fourth Proportional to 5,497.72, 8,247.80 and 1,601.80

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Solution

The fourth proportional to 5,497.72, 8,247.80 and 1,601.80 is: 2,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.72 : 8,247.80 = 1,601.80 : x
  2. Step 2: Convert to fraction form
    5,497.72/8,247.80 = 1,601.80/x
  3. Step 3: Cross multiply
    5,497.72x = 8,247.80 × 1,601.80
  4. Step 4: Simplify right side
    5,497.72x = 13,211,326.04
  5. Step 5: Solve for x
    x = 13,211,326.04/5,497.72
  6. Step 6: Final answer
    x = 2,403.06

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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.