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Finding the Fourth Proportional to 5,136.96, 7,703.16 and 2,015.22

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Solution

The fourth proportional to 5,136.96, 7,703.16 and 2,015.22 is: 3,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.96 : 7,703.16 = 2,015.22 : x
  2. Step 2: Convert to fraction form
    5,136.96/7,703.16 = 2,015.22/x
  3. Step 3: Cross multiply
    5,136.96x = 7,703.16 × 2,015.22
  4. Step 4: Simplify right side
    5,136.96x = 15,523,562.10
  5. Step 5: Solve for x
    x = 15,523,562.10/5,136.96
  6. Step 6: Final answer
    x = 3,021.94

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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.