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Finding the Fourth Proportional to 4,662.90, 6,433.71 and 3,404.63

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Solution

The fourth proportional to 4,662.90, 6,433.71 and 3,404.63 is: 4,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.90 : 6,433.71 = 3,404.63 : x
  2. Step 2: Convert to fraction form
    4,662.90/6,433.71 = 3,404.63/x
  3. Step 3: Cross multiply
    4,662.90x = 6,433.71 × 3,404.63
  4. Step 4: Simplify right side
    4,662.90x = 21,904,369.91
  5. Step 5: Solve for x
    x = 21,904,369.91/4,662.90
  6. Step 6: Final answer
    x = 4,697.59

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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.