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Finding the Fourth Proportional to 11,940.40, 16,476.78 and 7,461.10

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Solution

The fourth proportional to 11,940.40, 16,476.78 and 7,461.10 is: 10,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.40 : 16,476.78 = 7,461.10 : x
  2. Step 2: Convert to fraction form
    11,940.40/16,476.78 = 7,461.10/x
  3. Step 3: Cross multiply
    11,940.40x = 16,476.78 × 7,461.10
  4. Step 4: Simplify right side
    11,940.40x = 122,934,903.26
  5. Step 5: Solve for x
    x = 122,934,903.26/11,940.40
  6. Step 6: Final answer
    x = 10,295.71

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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.