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Finding the Fourth Proportional to 37,806.94, 56,719.05 and 11,513.80

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Solution

The fourth proportional to 37,806.94, 56,719.05 and 11,513.80 is: 17,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,806.94 : 56,719.05 = 11,513.80 : x
  2. Step 2: Convert to fraction form
    37,806.94/56,719.05 = 11,513.80/x
  3. Step 3: Cross multiply
    37,806.94x = 56,719.05 × 11,513.80
  4. Step 4: Simplify right side
    37,806.94x = 653,051,797.89
  5. Step 5: Solve for x
    x = 653,051,797.89/37,806.94
  6. Step 6: Final answer
    x = 17,273.33

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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.