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Finding the Fourth Proportional to 7,034.02, 9,706.84 and 3,847.24

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Solution

The fourth proportional to 7,034.02, 9,706.84 and 3,847.24 is: 5,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.02 : 9,706.84 = 3,847.24 : x
  2. Step 2: Convert to fraction form
    7,034.02/9,706.84 = 3,847.24/x
  3. Step 3: Cross multiply
    7,034.02x = 9,706.84 × 3,847.24
  4. Step 4: Simplify right side
    7,034.02x = 37,344,543.12
  5. Step 5: Solve for x
    x = 37,344,543.12/7,034.02
  6. Step 6: Final answer
    x = 5,309.13

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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.