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Finding the Fourth Proportional to 6,706.42, 9,254.41 and 3,722.07

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Solution

The fourth proportional to 6,706.42, 9,254.41 and 3,722.07 is: 5,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.42 : 9,254.41 = 3,722.07 : x
  2. Step 2: Convert to fraction form
    6,706.42/9,254.41 = 3,722.07/x
  3. Step 3: Cross multiply
    6,706.42x = 9,254.41 × 3,722.07
  4. Step 4: Simplify right side
    6,706.42x = 34,445,561.83
  5. Step 5: Solve for x
    x = 34,445,561.83/6,706.42
  6. Step 6: Final answer
    x = 5,136.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.