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Finding the Fourth Proportional to 6,335.52, 9,505.20 and 3,047.68

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Solution

The fourth proportional to 6,335.52, 9,505.20 and 3,047.68 is: 4,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.52 : 9,505.20 = 3,047.68 : x
  2. Step 2: Convert to fraction form
    6,335.52/9,505.20 = 3,047.68/x
  3. Step 3: Cross multiply
    6,335.52x = 9,505.20 × 3,047.68
  4. Step 4: Simplify right side
    6,335.52x = 28,968,807.94
  5. Step 5: Solve for x
    x = 28,968,807.94/6,335.52
  6. Step 6: Final answer
    x = 4,572.44

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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.