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Finding the Fourth Proportional to 7,031.97, 9,704.25 and 4,048.38

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Solution

The fourth proportional to 7,031.97, 9,704.25 and 4,048.38 is: 5,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.97 : 9,704.25 = 4,048.38 : x
  2. Step 2: Convert to fraction form
    7,031.97/9,704.25 = 4,048.38/x
  3. Step 3: Cross multiply
    7,031.97x = 9,704.25 × 4,048.38
  4. Step 4: Simplify right side
    7,031.97x = 39,286,491.62
  5. Step 5: Solve for x
    x = 39,286,491.62/7,031.97
  6. Step 6: Final answer
    x = 5,586.84

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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.