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Finding the Fourth Proportional to 6,369.77, 9,537.55 and 5,194.94

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Solution

The fourth proportional to 6,369.77, 9,537.55 and 5,194.94 is: 7,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.77 : 9,537.55 = 5,194.94 : x
  2. Step 2: Convert to fraction form
    6,369.77/9,537.55 = 5,194.94/x
  3. Step 3: Cross multiply
    6,369.77x = 9,537.55 × 5,194.94
  4. Step 4: Simplify right side
    6,369.77x = 49,546,939.32
  5. Step 5: Solve for x
    x = 49,546,939.32/6,369.77
  6. Step 6: Final answer
    x = 7,778.45

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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.