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Finding the Fourth Proportional to 10,251, 15,376.50 and 4,095

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Solution

The fourth proportional to 10,251, 15,376.50 and 4,095 is: 6,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251 : 15,376.50 = 4,095 : x
  2. Step 2: Convert to fraction form
    10,251/15,376.50 = 4,095/x
  3. Step 3: Cross multiply
    10,251x = 15,376.50 × 4,095
  4. Step 4: Simplify right side
    10,251x = 62,966,767.50
  5. Step 5: Solve for x
    x = 62,966,767.50/10,251
  6. Step 6: Final answer
    x = 6,142.50

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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.