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Finding the Fourth Proportional to 5,469.13, 8,203.95 and 1,771.65

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Solution

The fourth proportional to 5,469.13, 8,203.95 and 1,771.65 is: 2,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.13 : 8,203.95 = 1,771.65 : x
  2. Step 2: Convert to fraction form
    5,469.13/8,203.95 = 1,771.65/x
  3. Step 3: Cross multiply
    5,469.13x = 8,203.95 × 1,771.65
  4. Step 4: Simplify right side
    5,469.13x = 14,534,528.02
  5. Step 5: Solve for x
    x = 14,534,528.02/5,469.13
  6. Step 6: Final answer
    x = 2,657.56

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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.