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Finding the Fourth Proportional to 11,706.75, 17,543.90 and 6,435.41

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Solution

The fourth proportional to 11,706.75, 17,543.90 and 6,435.41 is: 9,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.75 : 17,543.90 = 6,435.41 : x
  2. Step 2: Convert to fraction form
    11,706.75/17,543.90 = 6,435.41/x
  3. Step 3: Cross multiply
    11,706.75x = 17,543.90 × 6,435.41
  4. Step 4: Simplify right side
    11,706.75x = 112,902,069.60
  5. Step 5: Solve for x
    x = 112,902,069.60/11,706.75
  6. Step 6: Final answer
    x = 9,644.19

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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.