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Finding the Fourth Proportional to 5,674.62, 7,813.08 and 5,149.14

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Solution

The fourth proportional to 5,674.62, 7,813.08 and 5,149.14 is: 7,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.62 : 7,813.08 = 5,149.14 : x
  2. Step 2: Convert to fraction form
    5,674.62/7,813.08 = 5,149.14/x
  3. Step 3: Cross multiply
    5,674.62x = 7,813.08 × 5,149.14
  4. Step 4: Simplify right side
    5,674.62x = 40,230,642.75
  5. Step 5: Solve for x
    x = 40,230,642.75/5,674.62
  6. Step 6: Final answer
    x = 7,089.57

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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.