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Finding the Fourth Proportional to 6,510.19, 9,763.39 and 3,736.39

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Solution

The fourth proportional to 6,510.19, 9,763.39 and 3,736.39 is: 5,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.19 : 9,763.39 = 3,736.39 : x
  2. Step 2: Convert to fraction form
    6,510.19/9,763.39 = 3,736.39/x
  3. Step 3: Cross multiply
    6,510.19x = 9,763.39 × 3,736.39
  4. Step 4: Simplify right side
    6,510.19x = 36,479,832.76
  5. Step 5: Solve for x
    x = 36,479,832.76/6,510.19
  6. Step 6: Final answer
    x = 5,603.50

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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.