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Finding the Fourth Proportional to 6,529.70, 9,794.55 and 6,092.30

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Solution

The fourth proportional to 6,529.70, 9,794.55 and 6,092.30 is: 9,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.70 : 9,794.55 = 6,092.30 : x
  2. Step 2: Convert to fraction form
    6,529.70/9,794.55 = 6,092.30/x
  3. Step 3: Cross multiply
    6,529.70x = 9,794.55 × 6,092.30
  4. Step 4: Simplify right side
    6,529.70x = 59,671,336.97
  5. Step 5: Solve for x
    x = 59,671,336.97/6,529.70
  6. Step 6: Final answer
    x = 9,138.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.