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Finding the Fourth Proportional to 11,049.50, 16,575.06 and 4,124

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Solution

The fourth proportional to 11,049.50, 16,575.06 and 4,124 is: 6,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.50 : 16,575.06 = 4,124 : x
  2. Step 2: Convert to fraction form
    11,049.50/16,575.06 = 4,124/x
  3. Step 3: Cross multiply
    11,049.50x = 16,575.06 × 4,124
  4. Step 4: Simplify right side
    11,049.50x = 68,355,547.44
  5. Step 5: Solve for x
    x = 68,355,547.44/11,049.50
  6. Step 6: Final answer
    x = 6,186.30

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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.