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Finding the Fourth Proportional to 6,215.76, 9,372.46 and 5,699.20

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Solution

The fourth proportional to 6,215.76, 9,372.46 and 5,699.20 is: 8,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.76 : 9,372.46 = 5,699.20 : x
  2. Step 2: Convert to fraction form
    6,215.76/9,372.46 = 5,699.20/x
  3. Step 3: Cross multiply
    6,215.76x = 9,372.46 × 5,699.20
  4. Step 4: Simplify right side
    6,215.76x = 53,415,524.03
  5. Step 5: Solve for x
    x = 53,415,524.03/6,215.76
  6. Step 6: Final answer
    x = 8,593.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.