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Finding the Fourth Proportional to 6,462.36, 8,915.40 and 4,103.64

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Solution

The fourth proportional to 6,462.36, 8,915.40 and 4,103.64 is: 5,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.36 : 8,915.40 = 4,103.64 : x
  2. Step 2: Convert to fraction form
    6,462.36/8,915.40 = 4,103.64/x
  3. Step 3: Cross multiply
    6,462.36x = 8,915.40 × 4,103.64
  4. Step 4: Simplify right side
    6,462.36x = 36,585,592.06
  5. Step 5: Solve for x
    x = 36,585,592.06/6,462.36
  6. Step 6: Final answer
    x = 5,661.34

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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.