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Finding the Fourth Proportional to 8,030.77, 11,083.02 and 4,494.31

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Solution

The fourth proportional to 8,030.77, 11,083.02 and 4,494.31 is: 6,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.77 : 11,083.02 = 4,494.31 : x
  2. Step 2: Convert to fraction form
    8,030.77/11,083.02 = 4,494.31/x
  3. Step 3: Cross multiply
    8,030.77x = 11,083.02 × 4,494.31
  4. Step 4: Simplify right side
    8,030.77x = 49,810,527.62
  5. Step 5: Solve for x
    x = 49,810,527.62/8,030.77
  6. Step 6: Final answer
    x = 6,202.46

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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.