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Finding the Fourth Proportional to 5,398.21, 8,098.13 and 1,699.62

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Solution

The fourth proportional to 5,398.21, 8,098.13 and 1,699.62 is: 2,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.21 : 8,098.13 = 1,699.62 : x
  2. Step 2: Convert to fraction form
    5,398.21/8,098.13 = 1,699.62/x
  3. Step 3: Cross multiply
    5,398.21x = 8,098.13 × 1,699.62
  4. Step 4: Simplify right side
    5,398.21x = 13,763,743.71
  5. Step 5: Solve for x
    x = 13,763,743.71/5,398.21
  6. Step 6: Final answer
    x = 2,549.69

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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.