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Finding the Fourth Proportional to 8,659.05, 11,941.62 and 5,673.78

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Solution

The fourth proportional to 8,659.05, 11,941.62 and 5,673.78 is: 7,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.05 : 11,941.62 = 5,673.78 : x
  2. Step 2: Convert to fraction form
    8,659.05/11,941.62 = 5,673.78/x
  3. Step 3: Cross multiply
    8,659.05x = 11,941.62 × 5,673.78
  4. Step 4: Simplify right side
    8,659.05x = 67,754,124.72
  5. Step 5: Solve for x
    x = 67,754,124.72/8,659.05
  6. Step 6: Final answer
    x = 7,824.66

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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.