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Finding the Fourth Proportional to 6,466.56, 8,928 and 3,984

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Solution

The fourth proportional to 6,466.56, 8,928 and 3,984 is: 5,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.56 : 8,928 = 3,984 : x
  2. Step 2: Convert to fraction form
    6,466.56/8,928 = 3,984/x
  3. Step 3: Cross multiply
    6,466.56x = 8,928 × 3,984
  4. Step 4: Simplify right side
    6,466.56x = 35,569,152
  5. Step 5: Solve for x
    x = 35,569,152/6,466.56
  6. Step 6: Final answer
    x = 5,500.48

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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.