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Finding the Fourth Proportional to 11,774, 17,669.10 and 4,848.50

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Solution

The fourth proportional to 11,774, 17,669.10 and 4,848.50 is: 7,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 17,669.10 = 4,848.50 : x
  2. Step 2: Convert to fraction form
    11,774/17,669.10 = 4,848.50/x
  3. Step 3: Cross multiply
    11,774x = 17,669.10 × 4,848.50
  4. Step 4: Simplify right side
    11,774x = 85,668,631.35
  5. Step 5: Solve for x
    x = 85,668,631.35/11,774
  6. Step 6: Final answer
    x = 7,276.09

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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.