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Finding the Fourth Proportional to 11,768.58, 17,647.49 and 7,026.90

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Solution

The fourth proportional to 11,768.58, 17,647.49 and 7,026.90 is: 10,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.58 : 17,647.49 = 7,026.90 : x
  2. Step 2: Convert to fraction form
    11,768.58/17,647.49 = 7,026.90/x
  3. Step 3: Cross multiply
    11,768.58x = 17,647.49 × 7,026.90
  4. Step 4: Simplify right side
    11,768.58x = 124,007,046.17
  5. Step 5: Solve for x
    x = 124,007,046.17/11,768.58
  6. Step 6: Final answer
    x = 10,537.13

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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.