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Finding the Fourth Proportional to 5,153.99, 7,724.10 and 2,683.63

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Solution

The fourth proportional to 5,153.99, 7,724.10 and 2,683.63 is: 4,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.99 : 7,724.10 = 2,683.63 : x
  2. Step 2: Convert to fraction form
    5,153.99/7,724.10 = 2,683.63/x
  3. Step 3: Cross multiply
    5,153.99x = 7,724.10 × 2,683.63
  4. Step 4: Simplify right side
    5,153.99x = 20,728,587.86
  5. Step 5: Solve for x
    x = 20,728,587.86/5,153.99
  6. Step 6: Final answer
    x = 4,021.85

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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.