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Finding the Fourth Proportional to 5,362.62, 8,044.68 and 1,665.14

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Solution

The fourth proportional to 5,362.62, 8,044.68 and 1,665.14 is: 2,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.62 : 8,044.68 = 1,665.14 : x
  2. Step 2: Convert to fraction form
    5,362.62/8,044.68 = 1,665.14/x
  3. Step 3: Cross multiply
    5,362.62x = 8,044.68 × 1,665.14
  4. Step 4: Simplify right side
    5,362.62x = 13,395,478.23
  5. Step 5: Solve for x
    x = 13,395,478.23/5,362.62
  6. Step 6: Final answer
    x = 2,497.94

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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.