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Finding the Fourth Proportional to 8,030.78, 11,083.02 and 4,494.32

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Solution

The fourth proportional to 8,030.78, 11,083.02 and 4,494.32 is: 6,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.78 : 11,083.02 = 4,494.32 : x
  2. Step 2: Convert to fraction form
    8,030.78/11,083.02 = 4,494.32/x
  3. Step 3: Cross multiply
    8,030.78x = 11,083.02 × 4,494.32
  4. Step 4: Simplify right side
    8,030.78x = 49,810,638.45
  5. Step 5: Solve for x
    x = 49,810,638.45/8,030.78
  6. Step 6: Final answer
    x = 6,202.47

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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.