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Finding the Fourth Proportional to 7,202.06, 9,918.96 and 6,826.86

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Solution

The fourth proportional to 7,202.06, 9,918.96 and 6,826.86 is: 9,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.06 : 9,918.96 = 6,826.86 : x
  2. Step 2: Convert to fraction form
    7,202.06/9,918.96 = 6,826.86/x
  3. Step 3: Cross multiply
    7,202.06x = 9,918.96 × 6,826.86
  4. Step 4: Simplify right side
    7,202.06x = 67,715,297.77
  5. Step 5: Solve for x
    x = 67,715,297.77/7,202.06
  6. Step 6: Final answer
    x = 9,402.21

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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.