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Finding the Fourth Proportional to 6,467.10, 9,718.82 and 3,834.99

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Solution

The fourth proportional to 6,467.10, 9,718.82 and 3,834.99 is: 5,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.10 : 9,718.82 = 3,834.99 : x
  2. Step 2: Convert to fraction form
    6,467.10/9,718.82 = 3,834.99/x
  3. Step 3: Cross multiply
    6,467.10x = 9,718.82 × 3,834.99
  4. Step 4: Simplify right side
    6,467.10x = 37,271,558.34
  5. Step 5: Solve for x
    x = 37,271,558.34/6,467.10
  6. Step 6: Final answer
    x = 5,763.26

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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.