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Finding the Fourth Proportional to 14,023.86, 19,353.03 and 7,736.46

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Solution

The fourth proportional to 14,023.86, 19,353.03 and 7,736.46 is: 10,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.86 : 19,353.03 = 7,736.46 : x
  2. Step 2: Convert to fraction form
    14,023.86/19,353.03 = 7,736.46/x
  3. Step 3: Cross multiply
    14,023.86x = 19,353.03 × 7,736.46
  4. Step 4: Simplify right side
    14,023.86x = 149,723,942.47
  5. Step 5: Solve for x
    x = 149,723,942.47/14,023.86
  6. Step 6: Final answer
    x = 10,676.37

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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.