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Finding the Fourth Proportional to 12,507.63, 18,761.09 and 5,929.23

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Solution

The fourth proportional to 12,507.63, 18,761.09 and 5,929.23 is: 8,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.63 : 18,761.09 = 5,929.23 : x
  2. Step 2: Convert to fraction form
    12,507.63/18,761.09 = 5,929.23/x
  3. Step 3: Cross multiply
    12,507.63x = 18,761.09 × 5,929.23
  4. Step 4: Simplify right side
    12,507.63x = 111,238,788.01
  5. Step 5: Solve for x
    x = 111,238,788.01/12,507.63
  6. Step 6: Final answer
    x = 8,893.67

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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.