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Finding the Fourth Proportional to 7,069.94, 9,754.97 and 4,275.38

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Solution

The fourth proportional to 7,069.94, 9,754.97 and 4,275.38 is: 5,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.94 : 9,754.97 = 4,275.38 : x
  2. Step 2: Convert to fraction form
    7,069.94/9,754.97 = 4,275.38/x
  3. Step 3: Cross multiply
    7,069.94x = 9,754.97 × 4,275.38
  4. Step 4: Simplify right side
    7,069.94x = 41,706,203.64
  5. Step 5: Solve for x
    x = 41,706,203.64/7,069.94
  6. Step 6: Final answer
    x = 5,899.09

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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.