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Finding the Fourth Proportional to 11,705, 17,560.56 and 3,497

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Solution

The fourth proportional to 11,705, 17,560.56 and 3,497 is: 5,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705 : 17,560.56 = 3,497 : x
  2. Step 2: Convert to fraction form
    11,705/17,560.56 = 3,497/x
  3. Step 3: Cross multiply
    11,705x = 17,560.56 × 3,497
  4. Step 4: Simplify right side
    11,705x = 61,409,278.32
  5. Step 5: Solve for x
    x = 61,409,278.32/11,705
  6. Step 6: Final answer
    x = 5,246.41

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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.