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Finding the Fourth Proportional to 11,647.80, 17,458.74 and 6,974.10

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Solution

The fourth proportional to 11,647.80, 17,458.74 and 6,974.10 is: 10,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.80 : 17,458.74 = 6,974.10 : x
  2. Step 2: Convert to fraction form
    11,647.80/17,458.74 = 6,974.10/x
  3. Step 3: Cross multiply
    11,647.80x = 17,458.74 × 6,974.10
  4. Step 4: Simplify right side
    11,647.80x = 121,758,998.63
  5. Step 5: Solve for x
    x = 121,758,998.63/11,647.80
  6. Step 6: Final answer
    x = 10,453.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.