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Finding the Fourth Proportional to 6,483.80, 9,711.30 and 5,331.80

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Solution

The fourth proportional to 6,483.80, 9,711.30 and 5,331.80 is: 7,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.80 : 9,711.30 = 5,331.80 : x
  2. Step 2: Convert to fraction form
    6,483.80/9,711.30 = 5,331.80/x
  3. Step 3: Cross multiply
    6,483.80x = 9,711.30 × 5,331.80
  4. Step 4: Simplify right side
    6,483.80x = 51,778,709.34
  5. Step 5: Solve for x
    x = 51,778,709.34/6,483.80
  6. Step 6: Final answer
    x = 7,985.86

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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.