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Finding the Fourth Proportional to 6,469.36, 8,915.20 and 4,603.12

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Solution

The fourth proportional to 6,469.36, 8,915.20 and 4,603.12 is: 6,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.36 : 8,915.20 = 4,603.12 : x
  2. Step 2: Convert to fraction form
    6,469.36/8,915.20 = 4,603.12/x
  3. Step 3: Cross multiply
    6,469.36x = 8,915.20 × 4,603.12
  4. Step 4: Simplify right side
    6,469.36x = 41,037,735.42
  5. Step 5: Solve for x
    x = 41,037,735.42/6,469.36
  6. Step 6: Final answer
    x = 6,343.40

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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.