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Finding the Fourth Proportional to 10,314, 14,226.48 and 6,911.10

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Solution

The fourth proportional to 10,314, 14,226.48 and 6,911.10 is: 9,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 14,226.48 = 6,911.10 : x
  2. Step 2: Convert to fraction form
    10,314/14,226.48 = 6,911.10/x
  3. Step 3: Cross multiply
    10,314x = 14,226.48 × 6,911.10
  4. Step 4: Simplify right side
    10,314x = 98,320,625.93
  5. Step 5: Solve for x
    x = 98,320,625.93/10,314
  6. Step 6: Final answer
    x = 9,532.73

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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.