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Finding the Fourth Proportional to 4,658.36, 6,987.31 and 1,736.44

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Solution

The fourth proportional to 4,658.36, 6,987.31 and 1,736.44 is: 2,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.36 : 6,987.31 = 1,736.44 : x
  2. Step 2: Convert to fraction form
    4,658.36/6,987.31 = 1,736.44/x
  3. Step 3: Cross multiply
    4,658.36x = 6,987.31 × 1,736.44
  4. Step 4: Simplify right side
    4,658.36x = 12,133,032.53
  5. Step 5: Solve for x
    x = 12,133,032.53/4,658.36
  6. Step 6: Final answer
    x = 2,604.57

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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.