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Finding the Fourth Proportional to 6,184.75, 8,532.02 and 5,946.10

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Solution

The fourth proportional to 6,184.75, 8,532.02 and 5,946.10 is: 8,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.75 : 8,532.02 = 5,946.10 : x
  2. Step 2: Convert to fraction form
    6,184.75/8,532.02 = 5,946.10/x
  3. Step 3: Cross multiply
    6,184.75x = 8,532.02 × 5,946.10
  4. Step 4: Simplify right side
    6,184.75x = 50,732,171.73
  5. Step 5: Solve for x
    x = 50,732,171.73/6,184.75
  6. Step 6: Final answer
    x = 8,202.79

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1.5x scale

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.