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Finding the Fourth Proportional to 8,583.50, 11,846.22 and 5,228.27

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Solution

The fourth proportional to 8,583.50, 11,846.22 and 5,228.27 is: 7,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.50 : 11,846.22 = 5,228.27 : x
  2. Step 2: Convert to fraction form
    8,583.50/11,846.22 = 5,228.27/x
  3. Step 3: Cross multiply
    8,583.50x = 11,846.22 × 5,228.27
  4. Step 4: Simplify right side
    8,583.50x = 61,935,266.25
  5. Step 5: Solve for x
    x = 61,935,266.25/8,583.50
  6. Step 6: Final answer
    x = 7,215.62

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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.