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Finding the Fourth Proportional to 6,969.43, 9,614.70 and 4,136.92

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Solution

The fourth proportional to 6,969.43, 9,614.70 and 4,136.92 is: 5,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.43 : 9,614.70 = 4,136.92 : x
  2. Step 2: Convert to fraction form
    6,969.43/9,614.70 = 4,136.92/x
  3. Step 3: Cross multiply
    6,969.43x = 9,614.70 × 4,136.92
  4. Step 4: Simplify right side
    6,969.43x = 39,775,244.72
  5. Step 5: Solve for x
    x = 39,775,244.72/6,969.43
  6. Step 6: Final answer
    x = 5,707.10

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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.