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Finding the Fourth Proportional to 27,396, 37,806.48 and 14,820.75

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Solution

The fourth proportional to 27,396, 37,806.48 and 14,820.75 is: 20,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396 : 37,806.48 = 14,820.75 : x
  2. Step 2: Convert to fraction form
    27,396/37,806.48 = 14,820.75/x
  3. Step 3: Cross multiply
    27,396x = 37,806.48 × 14,820.75
  4. Step 4: Simplify right side
    27,396x = 560,320,388.46
  5. Step 5: Solve for x
    x = 560,320,388.46/27,396
  6. Step 6: Final answer
    x = 20,452.64

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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.