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Finding the Fourth Proportional to 11,503.56, 17,252.16 and 3,181.56

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Solution

The fourth proportional to 11,503.56, 17,252.16 and 3,181.56 is: 4,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.56 : 17,252.16 = 3,181.56 : x
  2. Step 2: Convert to fraction form
    11,503.56/17,252.16 = 3,181.56/x
  3. Step 3: Cross multiply
    11,503.56x = 17,252.16 × 3,181.56
  4. Step 4: Simplify right side
    11,503.56x = 54,888,782.17
  5. Step 5: Solve for x
    x = 54,888,782.17/11,503.56
  6. Step 6: Final answer
    x = 4,771.46

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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.