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Finding the Fourth Proportional to 8,463.96, 11,682.63 and 6,784.70

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Solution

The fourth proportional to 8,463.96, 11,682.63 and 6,784.70 is: 9,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.96 : 11,682.63 = 6,784.70 : x
  2. Step 2: Convert to fraction form
    8,463.96/11,682.63 = 6,784.70/x
  3. Step 3: Cross multiply
    8,463.96x = 11,682.63 × 6,784.70
  4. Step 4: Simplify right side
    8,463.96x = 79,263,081.35
  5. Step 5: Solve for x
    x = 79,263,081.35/8,463.96
  6. Step 6: Final answer
    x = 9,364.78

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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.