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Finding the Fourth Proportional to 10,694.63, 14,765.07 and 6,975.11

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Solution

The fourth proportional to 10,694.63, 14,765.07 and 6,975.11 is: 9,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.63 : 14,765.07 = 6,975.11 : x
  2. Step 2: Convert to fraction form
    10,694.63/14,765.07 = 6,975.11/x
  3. Step 3: Cross multiply
    10,694.63x = 14,765.07 × 6,975.11
  4. Step 4: Simplify right side
    10,694.63x = 102,987,913.58
  5. Step 5: Solve for x
    x = 102,987,913.58/10,694.63
  6. Step 6: Final answer
    x = 9,629.88

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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.