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Finding the Fourth Proportional to 7,646.52, 11,468.34 and 2,100

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Solution

The fourth proportional to 7,646.52, 11,468.34 and 2,100 is: 3,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.52 : 11,468.34 = 2,100 : x
  2. Step 2: Convert to fraction form
    7,646.52/11,468.34 = 2,100/x
  3. Step 3: Cross multiply
    7,646.52x = 11,468.34 × 2,100
  4. Step 4: Simplify right side
    7,646.52x = 24,083,514
  5. Step 5: Solve for x
    x = 24,083,514/7,646.52
  6. Step 6: Final answer
    x = 3,149.60

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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.