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Finding the Fourth Proportional to 7,853.03, 11,765.53 and 4,146.97

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Solution

The fourth proportional to 7,853.03, 11,765.53 and 4,146.97 is: 6,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.03 : 11,765.53 = 4,146.97 : x
  2. Step 2: Convert to fraction form
    7,853.03/11,765.53 = 4,146.97/x
  3. Step 3: Cross multiply
    7,853.03x = 11,765.53 × 4,146.97
  4. Step 4: Simplify right side
    7,853.03x = 48,791,319.20
  5. Step 5: Solve for x
    x = 48,791,319.20/7,853.03
  6. Step 6: Final answer
    x = 6,213.06

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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.