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Finding the Fourth Proportional to 6,170.72, 9,276.16 and 4,951.49

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Solution

The fourth proportional to 6,170.72, 9,276.16 and 4,951.49 is: 7,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.72 : 9,276.16 = 4,951.49 : x
  2. Step 2: Convert to fraction form
    6,170.72/9,276.16 = 4,951.49/x
  3. Step 3: Cross multiply
    6,170.72x = 9,276.16 × 4,951.49
  4. Step 4: Simplify right side
    6,170.72x = 45,930,824.29
  5. Step 5: Solve for x
    x = 45,930,824.29/6,170.72
  6. Step 6: Final answer
    x = 7,443.35

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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.