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Finding the Fourth Proportional to 10,280.94, 14,172.84 and 6,738

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Solution

The fourth proportional to 10,280.94, 14,172.84 and 6,738 is: 9,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.94 : 14,172.84 = 6,738 : x
  2. Step 2: Convert to fraction form
    10,280.94/14,172.84 = 6,738/x
  3. Step 3: Cross multiply
    10,280.94x = 14,172.84 × 6,738
  4. Step 4: Simplify right side
    10,280.94x = 95,496,595.92
  5. Step 5: Solve for x
    x = 95,496,595.92/10,280.94
  6. Step 6: Final answer
    x = 9,288.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.