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Finding the Fourth Proportional to 10,793.66, 14,897.34 and 6,077.97

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Solution

The fourth proportional to 10,793.66, 14,897.34 and 6,077.97 is: 8,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.66 : 14,897.34 = 6,077.97 : x
  2. Step 2: Convert to fraction form
    10,793.66/14,897.34 = 6,077.97/x
  3. Step 3: Cross multiply
    10,793.66x = 14,897.34 × 6,077.97
  4. Step 4: Simplify right side
    10,793.66x = 90,545,585.60
  5. Step 5: Solve for x
    x = 90,545,585.60/10,793.66
  6. Step 6: Final answer
    x = 8,388.78

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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.