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Finding the Fourth Proportional to 8,361.05, 11,537.76 and 4,583.47

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Solution

The fourth proportional to 8,361.05, 11,537.76 and 4,583.47 is: 6,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.05 : 11,537.76 = 4,583.47 : x
  2. Step 2: Convert to fraction form
    8,361.05/11,537.76 = 4,583.47/x
  3. Step 3: Cross multiply
    8,361.05x = 11,537.76 × 4,583.47
  4. Step 4: Simplify right side
    8,361.05x = 52,882,976.83
  5. Step 5: Solve for x
    x = 52,882,976.83/8,361.05
  6. Step 6: Final answer
    x = 6,324.92

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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.