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Finding the Fourth Proportional to 5,162.48, 7,743.69 and 1,699.73

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Solution

The fourth proportional to 5,162.48, 7,743.69 and 1,699.73 is: 2,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.48 : 7,743.69 = 1,699.73 : x
  2. Step 2: Convert to fraction form
    5,162.48/7,743.69 = 1,699.73/x
  3. Step 3: Cross multiply
    5,162.48x = 7,743.69 × 1,699.73
  4. Step 4: Simplify right side
    5,162.48x = 13,162,143.49
  5. Step 5: Solve for x
    x = 13,162,143.49/5,162.48
  6. Step 6: Final answer
    x = 2,549.58

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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.