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Finding the Fourth Proportional to 7,137.64, 10,698.26 and 4,794.82

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Solution

The fourth proportional to 7,137.64, 10,698.26 and 4,794.82 is: 7,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.64 : 10,698.26 = 4,794.82 : x
  2. Step 2: Convert to fraction form
    7,137.64/10,698.26 = 4,794.82/x
  3. Step 3: Cross multiply
    7,137.64x = 10,698.26 × 4,794.82
  4. Step 4: Simplify right side
    7,137.64x = 51,296,180.29
  5. Step 5: Solve for x
    x = 51,296,180.29/7,137.64
  6. Step 6: Final answer
    x = 7,186.71

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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.