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Finding the Fourth Proportional to 6,483.20, 9,721.20 and 2,784.80

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Solution

The fourth proportional to 6,483.20, 9,721.20 and 2,784.80 is: 4,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.20 : 9,721.20 = 2,784.80 : x
  2. Step 2: Convert to fraction form
    6,483.20/9,721.20 = 2,784.80/x
  3. Step 3: Cross multiply
    6,483.20x = 9,721.20 × 2,784.80
  4. Step 4: Simplify right side
    6,483.20x = 27,071,597.76
  5. Step 5: Solve for x
    x = 27,071,597.76/6,483.20
  6. Step 6: Final answer
    x = 4,175.65

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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.