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Finding the Fourth Proportional to 6,263.50, 9,393 and 2,102.26

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Solution

The fourth proportional to 6,263.50, 9,393 and 2,102.26 is: 3,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.50 : 9,393 = 2,102.26 : x
  2. Step 2: Convert to fraction form
    6,263.50/9,393 = 2,102.26/x
  3. Step 3: Cross multiply
    6,263.50x = 9,393 × 2,102.26
  4. Step 4: Simplify right side
    6,263.50x = 19,746,528.18
  5. Step 5: Solve for x
    x = 19,746,528.18/6,263.50
  6. Step 6: Final answer
    x = 3,152.63

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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.