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Finding the Fourth Proportional to 6,466.32, 8,915.01 and 4,224.30

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Solution

The fourth proportional to 6,466.32, 8,915.01 and 4,224.30 is: 5,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.32 : 8,915.01 = 4,224.30 : x
  2. Step 2: Convert to fraction form
    6,466.32/8,915.01 = 4,224.30/x
  3. Step 3: Cross multiply
    6,466.32x = 8,915.01 × 4,224.30
  4. Step 4: Simplify right side
    6,466.32x = 37,659,676.74
  5. Step 5: Solve for x
    x = 37,659,676.74/6,466.32
  6. Step 6: Final answer
    x = 5,823.97

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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.