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Finding the Fourth Proportional to 7,936, 10,951.68 and 4,399.75

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Solution

The fourth proportional to 7,936, 10,951.68 and 4,399.75 is: 6,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936 : 10,951.68 = 4,399.75 : x
  2. Step 2: Convert to fraction form
    7,936/10,951.68 = 4,399.75/x
  3. Step 3: Cross multiply
    7,936x = 10,951.68 × 4,399.75
  4. Step 4: Simplify right side
    7,936x = 48,184,654.08
  5. Step 5: Solve for x
    x = 48,184,654.08/7,936
  6. Step 6: Final answer
    x = 6,071.66

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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.