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Finding the Fourth Proportional to 10,792.88, 14,896.39 and 6,811.32

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Solution

The fourth proportional to 10,792.88, 14,896.39 and 6,811.32 is: 9,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.88 : 14,896.39 = 6,811.32 : x
  2. Step 2: Convert to fraction form
    10,792.88/14,896.39 = 6,811.32/x
  3. Step 3: Cross multiply
    10,792.88x = 14,896.39 × 6,811.32
  4. Step 4: Simplify right side
    10,792.88x = 101,464,079.13
  5. Step 5: Solve for x
    x = 101,464,079.13/10,792.88
  6. Step 6: Final answer
    x = 9,401.02

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1.5x scale

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.