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Finding the Fourth Proportional to 7,031.98, 9,701.94 and 4,674.52

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Solution

The fourth proportional to 7,031.98, 9,701.94 and 4,674.52 is: 6,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.98 : 9,701.94 = 4,674.52 : x
  2. Step 2: Convert to fraction form
    7,031.98/9,701.94 = 4,674.52/x
  3. Step 3: Cross multiply
    7,031.98x = 9,701.94 × 4,674.52
  4. Step 4: Simplify right side
    7,031.98x = 45,351,912.57
  5. Step 5: Solve for x
    x = 45,351,912.57/7,031.98
  6. Step 6: Final answer
    x = 6,449.38

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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.