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Finding the Fourth Proportional to 25,197.56, 37,783.38 and 11,339

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Solution

The fourth proportional to 25,197.56, 37,783.38 and 11,339 is: 17,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197.56 : 37,783.38 = 11,339 : x
  2. Step 2: Convert to fraction form
    25,197.56/37,783.38 = 11,339/x
  3. Step 3: Cross multiply
    25,197.56x = 37,783.38 × 11,339
  4. Step 4: Simplify right side
    25,197.56x = 428,425,745.82
  5. Step 5: Solve for x
    x = 428,425,745.82/25,197.56
  6. Step 6: Final answer
    x = 17,002.67

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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.