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Finding the Fourth Proportional to 6,285.68, 9,430 and 6,181.20

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Solution

The fourth proportional to 6,285.68, 9,430 and 6,181.20 is: 9,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.68 : 9,430 = 6,181.20 : x
  2. Step 2: Convert to fraction form
    6,285.68/9,430 = 6,181.20/x
  3. Step 3: Cross multiply
    6,285.68x = 9,430 × 6,181.20
  4. Step 4: Simplify right side
    6,285.68x = 58,288,716
  5. Step 5: Solve for x
    x = 58,288,716/6,285.68
  6. Step 6: Final answer
    x = 9,273.26

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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.