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Finding the Fourth Proportional to 9,251, 13,876.50 and 3,095

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Solution

The fourth proportional to 9,251, 13,876.50 and 3,095 is: 4,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251 : 13,876.50 = 3,095 : x
  2. Step 2: Convert to fraction form
    9,251/13,876.50 = 3,095/x
  3. Step 3: Cross multiply
    9,251x = 13,876.50 × 3,095
  4. Step 4: Simplify right side
    9,251x = 42,947,767.50
  5. Step 5: Solve for x
    x = 42,947,767.50/9,251
  6. Step 6: Final answer
    x = 4,642.50

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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.