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Finding the Fourth Proportional to 4,464.81, 6,695.10 and 1,999.65

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Solution

The fourth proportional to 4,464.81, 6,695.10 and 1,999.65 is: 2,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.81 : 6,695.10 = 1,999.65 : x
  2. Step 2: Convert to fraction form
    4,464.81/6,695.10 = 1,999.65/x
  3. Step 3: Cross multiply
    4,464.81x = 6,695.10 × 1,999.65
  4. Step 4: Simplify right side
    4,464.81x = 13,387,856.72
  5. Step 5: Solve for x
    x = 13,387,856.72/4,464.81
  6. Step 6: Final answer
    x = 2,998.53

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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.