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Finding the Fourth Proportional to 6,706.99, 9,256.23 and 3,723.40

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Solution

The fourth proportional to 6,706.99, 9,256.23 and 3,723.40 is: 5,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.99 : 9,256.23 = 3,723.40 : x
  2. Step 2: Convert to fraction form
    6,706.99/9,256.23 = 3,723.40/x
  3. Step 3: Cross multiply
    6,706.99x = 9,256.23 × 3,723.40
  4. Step 4: Simplify right side
    6,706.99x = 34,464,646.78
  5. Step 5: Solve for x
    x = 34,464,646.78/6,706.99
  6. Step 6: Final answer
    x = 5,138.62

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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.