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Finding the Fourth Proportional to 6,969.74, 9,604.97 and 6,841.64

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Solution

The fourth proportional to 6,969.74, 9,604.97 and 6,841.64 is: 9,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.74 : 9,604.97 = 6,841.64 : x
  2. Step 2: Convert to fraction form
    6,969.74/9,604.97 = 6,841.64/x
  3. Step 3: Cross multiply
    6,969.74x = 9,604.97 × 6,841.64
  4. Step 4: Simplify right side
    6,969.74x = 65,713,688.73
  5. Step 5: Solve for x
    x = 65,713,688.73/6,969.74
  6. Step 6: Final answer
    x = 9,428.43

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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.