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Finding the Fourth Proportional to 4,658.97, 6,429.49 and 2,534.62

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Solution

The fourth proportional to 4,658.97, 6,429.49 and 2,534.62 is: 3,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.97 : 6,429.49 = 2,534.62 : x
  2. Step 2: Convert to fraction form
    4,658.97/6,429.49 = 2,534.62/x
  3. Step 3: Cross multiply
    4,658.97x = 6,429.49 × 2,534.62
  4. Step 4: Simplify right side
    4,658.97x = 16,296,313.94
  5. Step 5: Solve for x
    x = 16,296,313.94/4,658.97
  6. Step 6: Final answer
    x = 3,497.84

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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.