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Finding the Fourth Proportional to 6,897.54, 10,351.59 and 4,896.09

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Solution

The fourth proportional to 6,897.54, 10,351.59 and 4,896.09 is: 7,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.54 : 10,351.59 = 4,896.09 : x
  2. Step 2: Convert to fraction form
    6,897.54/10,351.59 = 4,896.09/x
  3. Step 3: Cross multiply
    6,897.54x = 10,351.59 × 4,896.09
  4. Step 4: Simplify right side
    6,897.54x = 50,682,316.28
  5. Step 5: Solve for x
    x = 50,682,316.28/6,897.54
  6. Step 6: Final answer
    x = 7,347.88

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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.