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Finding the Fourth Proportional to 6,896.61, 9,516.95 and 3,913.41

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Solution

The fourth proportional to 6,896.61, 9,516.95 and 3,913.41 is: 5,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.61 : 9,516.95 = 3,913.41 : x
  2. Step 2: Convert to fraction form
    6,896.61/9,516.95 = 3,913.41/x
  3. Step 3: Cross multiply
    6,896.61x = 9,516.95 × 3,913.41
  4. Step 4: Simplify right side
    6,896.61x = 37,243,727.30
  5. Step 5: Solve for x
    x = 37,243,727.30/6,896.61
  6. Step 6: Final answer
    x = 5,400.29

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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.