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Finding the Fourth Proportional to 6,424.56, 9,590.54 and 5,943.60

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Solution

The fourth proportional to 6,424.56, 9,590.54 and 5,943.60 is: 8,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.56 : 9,590.54 = 5,943.60 : x
  2. Step 2: Convert to fraction form
    6,424.56/9,590.54 = 5,943.60/x
  3. Step 3: Cross multiply
    6,424.56x = 9,590.54 × 5,943.60
  4. Step 4: Simplify right side
    6,424.56x = 57,002,333.54
  5. Step 5: Solve for x
    x = 57,002,333.54/6,424.56
  6. Step 6: Final answer
    x = 8,872.57

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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.