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Finding the Fourth Proportional to 6,763.67, 10,142.16 and 3,953.22

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Solution

The fourth proportional to 6,763.67, 10,142.16 and 3,953.22 is: 5,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.67 : 10,142.16 = 3,953.22 : x
  2. Step 2: Convert to fraction form
    6,763.67/10,142.16 = 3,953.22/x
  3. Step 3: Cross multiply
    6,763.67x = 10,142.16 × 3,953.22
  4. Step 4: Simplify right side
    6,763.67x = 40,094,151.72
  5. Step 5: Solve for x
    x = 40,094,151.72/6,763.67
  6. Step 6: Final answer
    x = 5,927.87

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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.