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Finding the Fourth Proportional to 11,770.97, 17,653.75 and 7,028.46

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Solution

The fourth proportional to 11,770.97, 17,653.75 and 7,028.46 is: 10,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.97 : 17,653.75 = 7,028.46 : x
  2. Step 2: Convert to fraction form
    11,770.97/17,653.75 = 7,028.46/x
  3. Step 3: Cross multiply
    11,770.97x = 17,653.75 × 7,028.46
  4. Step 4: Simplify right side
    11,770.97x = 124,078,658.15
  5. Step 5: Solve for x
    x = 124,078,658.15/11,770.97
  6. Step 6: Final answer
    x = 10,541.08

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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.