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Finding the Fourth Proportional to 35,882.75, 53,824.17 and 11,258.75

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Solution

The fourth proportional to 35,882.75, 53,824.17 and 11,258.75 is: 16,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.75 : 53,824.17 = 11,258.75 : x
  2. Step 2: Convert to fraction form
    35,882.75/53,824.17 = 11,258.75/x
  3. Step 3: Cross multiply
    35,882.75x = 53,824.17 × 11,258.75
  4. Step 4: Simplify right side
    35,882.75x = 605,992,873.99
  5. Step 5: Solve for x
    x = 605,992,873.99/35,882.75
  6. Step 6: Final answer
    x = 16,888.14

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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.