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Finding the Fourth Proportional to 5,077, 7,009.14 and 3,832.84

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Solution

The fourth proportional to 5,077, 7,009.14 and 3,832.84 is: 5,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077 : 7,009.14 = 3,832.84 : x
  2. Step 2: Convert to fraction form
    5,077/7,009.14 = 3,832.84/x
  3. Step 3: Cross multiply
    5,077x = 7,009.14 × 3,832.84
  4. Step 4: Simplify right side
    5,077x = 26,864,912.16
  5. Step 5: Solve for x
    x = 26,864,912.16/5,077
  6. Step 6: Final answer
    x = 5,291.49

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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.