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Finding the Fourth Proportional to 8,976, 13,466.72 and 4,596.56

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Solution

The fourth proportional to 8,976, 13,466.72 and 4,596.56 is: 6,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976 : 13,466.72 = 4,596.56 : x
  2. Step 2: Convert to fraction form
    8,976/13,466.72 = 4,596.56/x
  3. Step 3: Cross multiply
    8,976x = 13,466.72 × 4,596.56
  4. Step 4: Simplify right side
    8,976x = 61,900,586.48
  5. Step 5: Solve for x
    x = 61,900,586.48/8,976
  6. Step 6: Final answer
    x = 6,896.23

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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.