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Finding the Fourth Proportional to 6,706.98, 10,053.18 and 3,787.38

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Solution

The fourth proportional to 6,706.98, 10,053.18 and 3,787.38 is: 5,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.98 : 10,053.18 = 3,787.38 : x
  2. Step 2: Convert to fraction form
    6,706.98/10,053.18 = 3,787.38/x
  3. Step 3: Cross multiply
    6,706.98x = 10,053.18 × 3,787.38
  4. Step 4: Simplify right side
    6,706.98x = 38,075,212.87
  5. Step 5: Solve for x
    x = 38,075,212.87/6,706.98
  6. Step 6: Final answer
    x = 5,676.95

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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.