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Finding the Fourth Proportional to 11,706.85, 17,562.02 and 4,310.74

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Solution

The fourth proportional to 11,706.85, 17,562.02 and 4,310.74 is: 6,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.85 : 17,562.02 = 4,310.74 : x
  2. Step 2: Convert to fraction form
    11,706.85/17,562.02 = 4,310.74/x
  3. Step 3: Cross multiply
    11,706.85x = 17,562.02 × 4,310.74
  4. Step 4: Simplify right side
    11,706.85x = 75,705,236.64
  5. Step 5: Solve for x
    x = 75,705,236.64/11,706.85
  6. Step 6: Final answer
    x = 6,466.75

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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.