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Finding the Fourth Proportional to 6,730.70, 10,096.05 and 2,113.10

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Solution

The fourth proportional to 6,730.70, 10,096.05 and 2,113.10 is: 3,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.70 : 10,096.05 = 2,113.10 : x
  2. Step 2: Convert to fraction form
    6,730.70/10,096.05 = 2,113.10/x
  3. Step 3: Cross multiply
    6,730.70x = 10,096.05 × 2,113.10
  4. Step 4: Simplify right side
    6,730.70x = 21,333,963.26
  5. Step 5: Solve for x
    x = 21,333,963.26/6,730.70
  6. Step 6: Final answer
    x = 3,169.65

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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.