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Finding the Fourth Proportional to 7,092.84, 9,794.31 and 4,444.80

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Solution

The fourth proportional to 7,092.84, 9,794.31 and 4,444.80 is: 6,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.84 : 9,794.31 = 4,444.80 : x
  2. Step 2: Convert to fraction form
    7,092.84/9,794.31 = 4,444.80/x
  3. Step 3: Cross multiply
    7,092.84x = 9,794.31 × 4,444.80
  4. Step 4: Simplify right side
    7,092.84x = 43,533,749.09
  5. Step 5: Solve for x
    x = 43,533,749.09/7,092.84
  6. Step 6: Final answer
    x = 6,137.70

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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.