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Finding the Fourth Proportional to 7,029.26, 9,700 and 3,885.26

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Solution

The fourth proportional to 7,029.26, 9,700 and 3,885.26 is: 5,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.26 : 9,700 = 3,885.26 : x
  2. Step 2: Convert to fraction form
    7,029.26/9,700 = 3,885.26/x
  3. Step 3: Cross multiply
    7,029.26x = 9,700 × 3,885.26
  4. Step 4: Simplify right side
    7,029.26x = 37,687,022
  5. Step 5: Solve for x
    x = 37,687,022/7,029.26
  6. Step 6: Final answer
    x = 5,361.45

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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.