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Finding the Fourth Proportional to 6,305.40, 9,414.09 and 5,683.32

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Solution

The fourth proportional to 6,305.40, 9,414.09 and 5,683.32 is: 8,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.40 : 9,414.09 = 5,683.32 : x
  2. Step 2: Convert to fraction form
    6,305.40/9,414.09 = 5,683.32/x
  3. Step 3: Cross multiply
    6,305.40x = 9,414.09 × 5,683.32
  4. Step 4: Simplify right side
    6,305.40x = 53,503,285.98
  5. Step 5: Solve for x
    x = 53,503,285.98/6,305.40
  6. Step 6: Final answer
    x = 8,485.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.