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Finding the Fourth Proportional to 5,548.86, 7,661.16 and 5,195.88

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Solution

The fourth proportional to 5,548.86, 7,661.16 and 5,195.88 is: 7,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.86 : 7,661.16 = 5,195.88 : x
  2. Step 2: Convert to fraction form
    5,548.86/7,661.16 = 5,195.88/x
  3. Step 3: Cross multiply
    5,548.86x = 7,661.16 × 5,195.88
  4. Step 4: Simplify right side
    5,548.86x = 39,806,468.02
  5. Step 5: Solve for x
    x = 39,806,468.02/5,548.86
  6. Step 6: Final answer
    x = 7,173.81

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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.