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Finding the Fourth Proportional to 6,767.67, 9,339.47 and 3,783.53

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Solution

The fourth proportional to 6,767.67, 9,339.47 and 3,783.53 is: 5,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.67 : 9,339.47 = 3,783.53 : x
  2. Step 2: Convert to fraction form
    6,767.67/9,339.47 = 3,783.53/x
  3. Step 3: Cross multiply
    6,767.67x = 9,339.47 × 3,783.53
  4. Step 4: Simplify right side
    6,767.67x = 35,336,164.93
  5. Step 5: Solve for x
    x = 35,336,164.93/6,767.67
  6. Step 6: Final answer
    x = 5,221.32

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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.