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Finding the Fourth Proportional to 8,477.70, 11,696.82 and 4,940.24

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Solution

The fourth proportional to 8,477.70, 11,696.82 and 4,940.24 is: 6,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.70 : 11,696.82 = 4,940.24 : x
  2. Step 2: Convert to fraction form
    8,477.70/11,696.82 = 4,940.24/x
  3. Step 3: Cross multiply
    8,477.70x = 11,696.82 × 4,940.24
  4. Step 4: Simplify right side
    8,477.70x = 57,785,098.04
  5. Step 5: Solve for x
    x = 57,785,098.04/8,477.70
  6. Step 6: Final answer
    x = 6,816.13

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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.