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Finding the Fourth Proportional to 6,960.94, 10,422.57 and 5,097.94

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Solution

The fourth proportional to 6,960.94, 10,422.57 and 5,097.94 is: 7,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.94 : 10,422.57 = 5,097.94 : x
  2. Step 2: Convert to fraction form
    6,960.94/10,422.57 = 5,097.94/x
  3. Step 3: Cross multiply
    6,960.94x = 10,422.57 × 5,097.94
  4. Step 4: Simplify right side
    6,960.94x = 53,133,636.51
  5. Step 5: Solve for x
    x = 53,133,636.51/6,960.94
  6. Step 6: Final answer
    x = 7,633.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.