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Finding the Fourth Proportional to 7,963.97, 10,984.71 and 6,760.67

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Solution

The fourth proportional to 7,963.97, 10,984.71 and 6,760.67 is: 9,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.97 : 10,984.71 = 6,760.67 : x
  2. Step 2: Convert to fraction form
    7,963.97/10,984.71 = 6,760.67/x
  3. Step 3: Cross multiply
    7,963.97x = 10,984.71 × 6,760.67
  4. Step 4: Simplify right side
    7,963.97x = 74,263,944.43
  5. Step 5: Solve for x
    x = 74,263,944.43/7,963.97
  6. Step 6: Final answer
    x = 9,325.00

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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.