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Finding the Fourth Proportional to 6,805.96, 10,213.06 and 2,423.10

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Solution

The fourth proportional to 6,805.96, 10,213.06 and 2,423.10 is: 3,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.96 : 10,213.06 = 2,423.10 : x
  2. Step 2: Convert to fraction form
    6,805.96/10,213.06 = 2,423.10/x
  3. Step 3: Cross multiply
    6,805.96x = 10,213.06 × 2,423.10
  4. Step 4: Simplify right side
    6,805.96x = 24,747,265.69
  5. Step 5: Solve for x
    x = 24,747,265.69/6,805.96
  6. Step 6: Final answer
    x = 3,636.12

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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.