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Finding the Fourth Proportional to 6,234.30, 8,593.24 and 5,424.68

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Solution

The fourth proportional to 6,234.30, 8,593.24 and 5,424.68 is: 7,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.30 : 8,593.24 = 5,424.68 : x
  2. Step 2: Convert to fraction form
    6,234.30/8,593.24 = 5,424.68/x
  3. Step 3: Cross multiply
    6,234.30x = 8,593.24 × 5,424.68
  4. Step 4: Simplify right side
    6,234.30x = 46,615,577.16
  5. Step 5: Solve for x
    x = 46,615,577.16/6,234.30
  6. Step 6: Final answer
    x = 7,477.28

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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.