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Finding the Fourth Proportional to 11,793.17, 16,274.57 and 7,077.46

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Solution

The fourth proportional to 11,793.17, 16,274.57 and 7,077.46 is: 9,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.17 : 16,274.57 = 7,077.46 : x
  2. Step 2: Convert to fraction form
    11,793.17/16,274.57 = 7,077.46/x
  3. Step 3: Cross multiply
    11,793.17x = 16,274.57 × 7,077.46
  4. Step 4: Simplify right side
    11,793.17x = 115,182,536.82
  5. Step 5: Solve for x
    x = 115,182,536.82/11,793.17
  6. Step 6: Final answer
    x = 9,766.89

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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.