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Finding the Fourth Proportional to 10,725, 14,797.26 and 6,750.06

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Solution

The fourth proportional to 10,725, 14,797.26 and 6,750.06 is: 9,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725 : 14,797.26 = 6,750.06 : x
  2. Step 2: Convert to fraction form
    10,725/14,797.26 = 6,750.06/x
  3. Step 3: Cross multiply
    10,725x = 14,797.26 × 6,750.06
  4. Step 4: Simplify right side
    10,725x = 99,882,392.84
  5. Step 5: Solve for x
    x = 99,882,392.84/10,725
  6. Step 6: Final answer
    x = 9,313.04

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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.