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Finding the Fourth Proportional to 6,937.65, 10,406.79 and 2,257.65

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Solution

The fourth proportional to 6,937.65, 10,406.79 and 2,257.65 is: 3,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.65 : 10,406.79 = 2,257.65 : x
  2. Step 2: Convert to fraction form
    6,937.65/10,406.79 = 2,257.65/x
  3. Step 3: Cross multiply
    6,937.65x = 10,406.79 × 2,257.65
  4. Step 4: Simplify right side
    6,937.65x = 23,494,889.44
  5. Step 5: Solve for x
    x = 23,494,889.44/6,937.65
  6. Step 6: Final answer
    x = 3,386.58

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1.5x scale

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.