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Finding the Fourth Proportional to 6,681.56, 10,025.84 and 3,913.65

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Solution

The fourth proportional to 6,681.56, 10,025.84 and 3,913.65 is: 5,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.56 : 10,025.84 = 3,913.65 : x
  2. Step 2: Convert to fraction form
    6,681.56/10,025.84 = 3,913.65/x
  3. Step 3: Cross multiply
    6,681.56x = 10,025.84 × 3,913.65
  4. Step 4: Simplify right side
    6,681.56x = 39,237,638.50
  5. Step 5: Solve for x
    x = 39,237,638.50/6,681.56
  6. Step 6: Final answer
    x = 5,872.53

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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.