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Finding the Fourth Proportional to 5,497.47, 8,243.46 and 1,797.78

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Solution

The fourth proportional to 5,497.47, 8,243.46 and 1,797.78 is: 2,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.47 : 8,243.46 = 1,797.78 : x
  2. Step 2: Convert to fraction form
    5,497.47/8,243.46 = 1,797.78/x
  3. Step 3: Cross multiply
    5,497.47x = 8,243.46 × 1,797.78
  4. Step 4: Simplify right side
    5,497.47x = 14,819,927.52
  5. Step 5: Solve for x
    x = 14,819,927.52/5,497.47
  6. Step 6: Final answer
    x = 2,695.77

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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.