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Finding the Fourth Proportional to 6,470.84, 9,706.91 and 2,311.22

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Solution

The fourth proportional to 6,470.84, 9,706.91 and 2,311.22 is: 3,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.84 : 9,706.91 = 2,311.22 : x
  2. Step 2: Convert to fraction form
    6,470.84/9,706.91 = 2,311.22/x
  3. Step 3: Cross multiply
    6,470.84x = 9,706.91 × 2,311.22
  4. Step 4: Simplify right side
    6,470.84x = 22,434,817.24
  5. Step 5: Solve for x
    x = 22,434,817.24/6,470.84
  6. Step 6: Final answer
    x = 3,467.06

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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.