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Finding the Fourth Proportional to 6,784.66, 9,358.05 and 5,773.78

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Solution

The fourth proportional to 6,784.66, 9,358.05 and 5,773.78 is: 7,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.66 : 9,358.05 = 5,773.78 : x
  2. Step 2: Convert to fraction form
    6,784.66/9,358.05 = 5,773.78/x
  3. Step 3: Cross multiply
    6,784.66x = 9,358.05 × 5,773.78
  4. Step 4: Simplify right side
    6,784.66x = 54,031,321.93
  5. Step 5: Solve for x
    x = 54,031,321.93/6,784.66
  6. Step 6: Final answer
    x = 7,963.75

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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.