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Finding the Fourth Proportional to 5,664.96, 8,496.28 and 2,153.74

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Solution

The fourth proportional to 5,664.96, 8,496.28 and 2,153.74 is: 3,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.96 : 8,496.28 = 2,153.74 : x
  2. Step 2: Convert to fraction form
    5,664.96/8,496.28 = 2,153.74/x
  3. Step 3: Cross multiply
    5,664.96x = 8,496.28 × 2,153.74
  4. Step 4: Simplify right side
    5,664.96x = 18,298,778.09
  5. Step 5: Solve for x
    x = 18,298,778.09/5,664.96
  6. Step 6: Final answer
    x = 3,230.17

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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.