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Finding the Fourth Proportional to 6,383.74, 9,575.62 and 1,941.42

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Solution

The fourth proportional to 6,383.74, 9,575.62 and 1,941.42 is: 2,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.74 : 9,575.62 = 1,941.42 : x
  2. Step 2: Convert to fraction form
    6,383.74/9,575.62 = 1,941.42/x
  3. Step 3: Cross multiply
    6,383.74x = 9,575.62 × 1,941.42
  4. Step 4: Simplify right side
    6,383.74x = 18,590,300.18
  5. Step 5: Solve for x
    x = 18,590,300.18/6,383.74
  6. Step 6: Final answer
    x = 2,912.13

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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.