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Finding the Fourth Proportional to 6,902, 9,524.82 and 3,758.24

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Solution

The fourth proportional to 6,902, 9,524.82 and 3,758.24 is: 5,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 9,524.82 = 3,758.24 : x
  2. Step 2: Convert to fraction form
    6,902/9,524.82 = 3,758.24/x
  3. Step 3: Cross multiply
    6,902x = 9,524.82 × 3,758.24
  4. Step 4: Simplify right side
    6,902x = 35,796,559.52
  5. Step 5: Solve for x
    x = 35,796,559.52/6,902
  6. Step 6: Final answer
    x = 5,186.40

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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.