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Finding the Fourth Proportional to 6,339.70, 9,511.56 and 3,053.02

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Solution

The fourth proportional to 6,339.70, 9,511.56 and 3,053.02 is: 4,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.70 : 9,511.56 = 3,053.02 : x
  2. Step 2: Convert to fraction form
    6,339.70/9,511.56 = 3,053.02/x
  3. Step 3: Cross multiply
    6,339.70x = 9,511.56 × 3,053.02
  4. Step 4: Simplify right side
    6,339.70x = 29,038,982.91
  5. Step 5: Solve for x
    x = 29,038,982.91/6,339.70
  6. Step 6: Final answer
    x = 4,580.50

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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.