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Finding the Fourth Proportional to 6,260.50, 9,393.99 and 3,182.50

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Solution

The fourth proportional to 6,260.50, 9,393.99 and 3,182.50 is: 4,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.50 : 9,393.99 = 3,182.50 : x
  2. Step 2: Convert to fraction form
    6,260.50/9,393.99 = 3,182.50/x
  3. Step 3: Cross multiply
    6,260.50x = 9,393.99 × 3,182.50
  4. Step 4: Simplify right side
    6,260.50x = 29,896,373.18
  5. Step 5: Solve for x
    x = 29,896,373.18/6,260.50
  6. Step 6: Final answer
    x = 4,775.40

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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.