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Finding the Fourth Proportional to 6,266.69, 9,410.73 and 5,565.43

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Solution

The fourth proportional to 6,266.69, 9,410.73 and 5,565.43 is: 8,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.69 : 9,410.73 = 5,565.43 : x
  2. Step 2: Convert to fraction form
    6,266.69/9,410.73 = 5,565.43/x
  3. Step 3: Cross multiply
    6,266.69x = 9,410.73 × 5,565.43
  4. Step 4: Simplify right side
    6,266.69x = 52,374,759.06
  5. Step 5: Solve for x
    x = 52,374,759.06/6,266.69
  6. Step 6: Final answer
    x = 8,357.64

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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.