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Finding the Fourth Proportional to 5,114.93, 7,065.77 and 3,950.96

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Solution

The fourth proportional to 5,114.93, 7,065.77 and 3,950.96 is: 5,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.93 : 7,065.77 = 3,950.96 : x
  2. Step 2: Convert to fraction form
    5,114.93/7,065.77 = 3,950.96/x
  3. Step 3: Cross multiply
    5,114.93x = 7,065.77 × 3,950.96
  4. Step 4: Simplify right side
    5,114.93x = 27,916,519.56
  5. Step 5: Solve for x
    x = 27,916,519.56/5,114.93
  6. Step 6: Final answer
    x = 5,457.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.