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Finding the Fourth Proportional to 6,873.12, 9,481.86 and 4,077

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Solution

The fourth proportional to 6,873.12, 9,481.86 and 4,077 is: 5,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.12 : 9,481.86 = 4,077 : x
  2. Step 2: Convert to fraction form
    6,873.12/9,481.86 = 4,077/x
  3. Step 3: Cross multiply
    6,873.12x = 9,481.86 × 4,077
  4. Step 4: Simplify right side
    6,873.12x = 38,657,543.22
  5. Step 5: Solve for x
    x = 38,657,543.22/6,873.12
  6. Step 6: Final answer
    x = 5,624.45

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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.