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Finding the Fourth Proportional to 6,873.86, 9,486.03 and 3,730.05

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Solution

The fourth proportional to 6,873.86, 9,486.03 and 3,730.05 is: 5,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.86 : 9,486.03 = 3,730.05 : x
  2. Step 2: Convert to fraction form
    6,873.86/9,486.03 = 3,730.05/x
  3. Step 3: Cross multiply
    6,873.86x = 9,486.03 × 3,730.05
  4. Step 4: Simplify right side
    6,873.86x = 35,383,318.77
  5. Step 5: Solve for x
    x = 35,383,318.77/6,873.86
  6. Step 6: Final answer
    x = 5,147.52

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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.