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Finding the Fourth Proportional to 5,717, 8,513.03 and 5,506.82

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Solution

The fourth proportional to 5,717, 8,513.03 and 5,506.82 is: 8,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717 : 8,513.03 = 5,506.82 : x
  2. Step 2: Convert to fraction form
    5,717/8,513.03 = 5,506.82/x
  3. Step 3: Cross multiply
    5,717x = 8,513.03 × 5,506.82
  4. Step 4: Simplify right side
    5,717x = 46,879,723.86
  5. Step 5: Solve for x
    x = 46,879,723.86/5,717
  6. Step 6: Final answer
    x = 8,200.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.