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Finding the Fourth Proportional to 6,838.12, 9,476.24 and 6,706.88

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Solution

The fourth proportional to 6,838.12, 9,476.24 and 6,706.88 is: 9,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.12 : 9,476.24 = 6,706.88 : x
  2. Step 2: Convert to fraction form
    6,838.12/9,476.24 = 6,706.88/x
  3. Step 3: Cross multiply
    6,838.12x = 9,476.24 × 6,706.88
  4. Step 4: Simplify right side
    6,838.12x = 63,556,004.53
  5. Step 5: Solve for x
    x = 63,556,004.53/6,838.12
  6. Step 6: Final answer
    x = 9,294.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.