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Finding the Fourth Proportional to 8,424.57, 11,626.01 and 4,647.89

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Solution

The fourth proportional to 8,424.57, 11,626.01 and 4,647.89 is: 6,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.57 : 11,626.01 = 4,647.89 : x
  2. Step 2: Convert to fraction form
    8,424.57/11,626.01 = 4,647.89/x
  3. Step 3: Cross multiply
    8,424.57x = 11,626.01 × 4,647.89
  4. Step 4: Simplify right side
    8,424.57x = 54,036,351.68
  5. Step 5: Solve for x
    x = 54,036,351.68/8,424.57
  6. Step 6: Final answer
    x = 6,414.14

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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.