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Finding the Fourth Proportional to 7,762.89, 11,644.44 and 2,216.23

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Solution

The fourth proportional to 7,762.89, 11,644.44 and 2,216.23 is: 3,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.89 : 11,644.44 = 2,216.23 : x
  2. Step 2: Convert to fraction form
    7,762.89/11,644.44 = 2,216.23/x
  3. Step 3: Cross multiply
    7,762.89x = 11,644.44 × 2,216.23
  4. Step 4: Simplify right side
    7,762.89x = 25,806,746.18
  5. Step 5: Solve for x
    x = 25,806,746.18/7,762.89
  6. Step 6: Final answer
    x = 3,324.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.