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Finding the Fourth Proportional to 7,999.70, 11,983.35 and 5,537.30

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Solution

The fourth proportional to 7,999.70, 11,983.35 and 5,537.30 is: 8,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.70 : 11,983.35 = 5,537.30 : x
  2. Step 2: Convert to fraction form
    7,999.70/11,983.35 = 5,537.30/x
  3. Step 3: Cross multiply
    7,999.70x = 11,983.35 × 5,537.30
  4. Step 4: Simplify right side
    7,999.70x = 66,355,403.96
  5. Step 5: Solve for x
    x = 66,355,403.96/7,999.70
  6. Step 6: Final answer
    x = 8,294.74

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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.