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Finding the Fourth Proportional to 4,616.58, 6,915.87 and 4,380.42

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Solution

The fourth proportional to 4,616.58, 6,915.87 and 4,380.42 is: 6,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.58 : 6,915.87 = 4,380.42 : x
  2. Step 2: Convert to fraction form
    4,616.58/6,915.87 = 4,380.42/x
  3. Step 3: Cross multiply
    4,616.58x = 6,915.87 × 4,380.42
  4. Step 4: Simplify right side
    4,616.58x = 30,294,415.27
  5. Step 5: Solve for x
    x = 30,294,415.27/4,616.58
  6. Step 6: Final answer
    x = 6,562.09

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1.5x scale

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.