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Finding the Fourth Proportional to 7,822.44, 10,794.74 and 4,465.17

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Solution

The fourth proportional to 7,822.44, 10,794.74 and 4,465.17 is: 6,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.44 : 10,794.74 = 4,465.17 : x
  2. Step 2: Convert to fraction form
    7,822.44/10,794.74 = 4,465.17/x
  3. Step 3: Cross multiply
    7,822.44x = 10,794.74 × 4,465.17
  4. Step 4: Simplify right side
    7,822.44x = 48,200,326.88
  5. Step 5: Solve for x
    x = 48,200,326.88/7,822.44
  6. Step 6: Final answer
    x = 6,161.80

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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.