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Finding the Fourth Proportional to 4,658.69, 6,429.05 and 2,534.22

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Solution

The fourth proportional to 4,658.69, 6,429.05 and 2,534.22 is: 3,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.69 : 6,429.05 = 2,534.22 : x
  2. Step 2: Convert to fraction form
    4,658.69/6,429.05 = 2,534.22/x
  3. Step 3: Cross multiply
    4,658.69x = 6,429.05 × 2,534.22
  4. Step 4: Simplify right side
    4,658.69x = 16,292,614.42
  5. Step 5: Solve for x
    x = 16,292,614.42/4,658.69
  6. Step 6: Final answer
    x = 3,497.26

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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.