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Finding the Fourth Proportional to 4,966.48, 7,447.02 and 3,211.24

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Solution

The fourth proportional to 4,966.48, 7,447.02 and 3,211.24 is: 4,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.48 : 7,447.02 = 3,211.24 : x
  2. Step 2: Convert to fraction form
    4,966.48/7,447.02 = 3,211.24/x
  3. Step 3: Cross multiply
    4,966.48x = 7,447.02 × 3,211.24
  4. Step 4: Simplify right side
    4,966.48x = 23,914,168.50
  5. Step 5: Solve for x
    x = 23,914,168.50/4,966.48
  6. Step 6: Final answer
    x = 4,815.11

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Similar ratio
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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.