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Finding the Fourth Proportional to 6,497.53, 9,744.80 and 1,817.87

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Solution

The fourth proportional to 6,497.53, 9,744.80 and 1,817.87 is: 2,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.53 : 9,744.80 = 1,817.87 : x
  2. Step 2: Convert to fraction form
    6,497.53/9,744.80 = 1,817.87/x
  3. Step 3: Cross multiply
    6,497.53x = 9,744.80 × 1,817.87
  4. Step 4: Simplify right side
    6,497.53x = 17,714,786.99
  5. Step 5: Solve for x
    x = 17,714,786.99/6,497.53
  6. Step 6: Final answer
    x = 2,726.39

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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.