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Finding the Fourth Proportional to 4,872.82, 7,309.16 and 1,175.02

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Solution

The fourth proportional to 4,872.82, 7,309.16 and 1,175.02 is: 1,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.82 : 7,309.16 = 1,175.02 : x
  2. Step 2: Convert to fraction form
    4,872.82/7,309.16 = 1,175.02/x
  3. Step 3: Cross multiply
    4,872.82x = 7,309.16 × 1,175.02
  4. Step 4: Simplify right side
    4,872.82x = 8,588,375.00
  5. Step 5: Solve for x
    x = 8,588,375.00/4,872.82
  6. Step 6: Final answer
    x = 1,762.51

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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.