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Finding the Fourth Proportional to 12,974.85, 17,907.03 and 7,310.70

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Solution

The fourth proportional to 12,974.85, 17,907.03 and 7,310.70 is: 10,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.85 : 17,907.03 = 7,310.70 : x
  2. Step 2: Convert to fraction form
    12,974.85/17,907.03 = 7,310.70/x
  3. Step 3: Cross multiply
    12,974.85x = 17,907.03 × 7,310.70
  4. Step 4: Simplify right side
    12,974.85x = 130,912,924.22
  5. Step 5: Solve for x
    x = 130,912,924.22/12,974.85
  6. Step 6: Final answer
    x = 10,089.74

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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.