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Finding the Fourth Proportional to 4,607.69, 6,906.12 and 2,137.31

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Solution

The fourth proportional to 4,607.69, 6,906.12 and 2,137.31 is: 3,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.69 : 6,906.12 = 2,137.31 : x
  2. Step 2: Convert to fraction form
    4,607.69/6,906.12 = 2,137.31/x
  3. Step 3: Cross multiply
    4,607.69x = 6,906.12 × 2,137.31
  4. Step 4: Simplify right side
    4,607.69x = 14,760,519.34
  5. Step 5: Solve for x
    x = 14,760,519.34/4,607.69
  6. Step 6: Final answer
    x = 3,203.45

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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.