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Finding the Fourth Proportional to 7,741.03, 10,682.66 and 4,204.24

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Solution

The fourth proportional to 7,741.03, 10,682.66 and 4,204.24 is: 5,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.03 : 10,682.66 = 4,204.24 : x
  2. Step 2: Convert to fraction form
    7,741.03/10,682.66 = 4,204.24/x
  3. Step 3: Cross multiply
    7,741.03x = 10,682.66 × 4,204.24
  4. Step 4: Simplify right side
    7,741.03x = 44,912,392.04
  5. Step 5: Solve for x
    x = 44,912,392.04/7,741.03
  6. Step 6: Final answer
    x = 5,801.87

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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.