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Finding the Fourth Proportional to 6,968.69, 9,616.75 and 3,781.92

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Solution

The fourth proportional to 6,968.69, 9,616.75 and 3,781.92 is: 5,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.69 : 9,616.75 = 3,781.92 : x
  2. Step 2: Convert to fraction form
    6,968.69/9,616.75 = 3,781.92/x
  3. Step 3: Cross multiply
    6,968.69x = 9,616.75 × 3,781.92
  4. Step 4: Simplify right side
    6,968.69x = 36,369,779.16
  5. Step 5: Solve for x
    x = 36,369,779.16/6,968.69
  6. Step 6: Final answer
    x = 5,219.03

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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.