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Finding the Fourth Proportional to 12,537.84, 18,819 and 5,968.56

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Solution

The fourth proportional to 12,537.84, 18,819 and 5,968.56 is: 8,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.84 : 18,819 = 5,968.56 : x
  2. Step 2: Convert to fraction form
    12,537.84/18,819 = 5,968.56/x
  3. Step 3: Cross multiply
    12,537.84x = 18,819 × 5,968.56
  4. Step 4: Simplify right side
    12,537.84x = 112,322,330.64
  5. Step 5: Solve for x
    x = 112,322,330.64/12,537.84
  6. Step 6: Final answer
    x = 8,958.67

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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.