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Finding the Fourth Proportional to 11,584, 17,357.10 and 6,029.74

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Solution

The fourth proportional to 11,584, 17,357.10 and 6,029.74 is: 9,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584 : 17,357.10 = 6,029.74 : x
  2. Step 2: Convert to fraction form
    11,584/17,357.10 = 6,029.74/x
  3. Step 3: Cross multiply
    11,584x = 17,357.10 × 6,029.74
  4. Step 4: Simplify right side
    11,584x = 104,658,800.15
  5. Step 5: Solve for x
    x = 104,658,800.15/11,584
  6. Step 6: Final answer
    x = 9,034.77

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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.