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Finding the Fourth Proportional to 10,828.61, 14,943.06 and 6,797.61

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Solution

The fourth proportional to 10,828.61, 14,943.06 and 6,797.61 is: 9,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.61 : 14,943.06 = 6,797.61 : x
  2. Step 2: Convert to fraction form
    10,828.61/14,943.06 = 6,797.61/x
  3. Step 3: Cross multiply
    10,828.61x = 14,943.06 × 6,797.61
  4. Step 4: Simplify right side
    10,828.61x = 101,577,019.37
  5. Step 5: Solve for x
    x = 101,577,019.37/10,828.61
  6. Step 6: Final answer
    x = 9,380.43

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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.