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Finding the Fourth Proportional to 10,797.92, 14,900.99 and 6,324

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Solution

The fourth proportional to 10,797.92, 14,900.99 and 6,324 is: 8,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.92 : 14,900.99 = 6,324 : x
  2. Step 2: Convert to fraction form
    10,797.92/14,900.99 = 6,324/x
  3. Step 3: Cross multiply
    10,797.92x = 14,900.99 × 6,324
  4. Step 4: Simplify right side
    10,797.92x = 94,233,860.76
  5. Step 5: Solve for x
    x = 94,233,860.76/10,797.92
  6. Step 6: Final answer
    x = 8,727.04

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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.