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Finding the Fourth Proportional to 6,896.88, 9,522.54 and 5,386.14

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Solution

The fourth proportional to 6,896.88, 9,522.54 and 5,386.14 is: 7,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.88 : 9,522.54 = 5,386.14 : x
  2. Step 2: Convert to fraction form
    6,896.88/9,522.54 = 5,386.14/x
  3. Step 3: Cross multiply
    6,896.88x = 9,522.54 × 5,386.14
  4. Step 4: Simplify right side
    6,896.88x = 51,289,743.94
  5. Step 5: Solve for x
    x = 51,289,743.94/6,896.88
  6. Step 6: Final answer
    x = 7,436.66

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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.