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Finding the Fourth Proportional to 6,308.50, 8,706.03 and 3,514

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Solution

The fourth proportional to 6,308.50, 8,706.03 and 3,514 is: 4,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.50 : 8,706.03 = 3,514 : x
  2. Step 2: Convert to fraction form
    6,308.50/8,706.03 = 3,514/x
  3. Step 3: Cross multiply
    6,308.50x = 8,706.03 × 3,514
  4. Step 4: Simplify right side
    6,308.50x = 30,592,989.42
  5. Step 5: Solve for x
    x = 30,592,989.42/6,308.50
  6. Step 6: Final answer
    x = 4,849.49

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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.