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Finding the Fourth Proportional to 6,542.76, 9,809.50 and 3,078.12

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Solution

The fourth proportional to 6,542.76, 9,809.50 and 3,078.12 is: 4,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.76 : 9,809.50 = 3,078.12 : x
  2. Step 2: Convert to fraction form
    6,542.76/9,809.50 = 3,078.12/x
  3. Step 3: Cross multiply
    6,542.76x = 9,809.50 × 3,078.12
  4. Step 4: Simplify right side
    6,542.76x = 30,194,818.14
  5. Step 5: Solve for x
    x = 30,194,818.14/6,542.76
  6. Step 6: Final answer
    x = 4,615.00

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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.