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Finding the Fourth Proportional to 11,342.60, 17,006.94 and 4,409

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Solution

The fourth proportional to 11,342.60, 17,006.94 and 4,409 is: 6,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.60 : 17,006.94 = 4,409 : x
  2. Step 2: Convert to fraction form
    11,342.60/17,006.94 = 4,409/x
  3. Step 3: Cross multiply
    11,342.60x = 17,006.94 × 4,409
  4. Step 4: Simplify right side
    11,342.60x = 74,983,598.46
  5. Step 5: Solve for x
    x = 74,983,598.46/11,342.60
  6. Step 6: Final answer
    x = 6,610.79

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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.