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Finding the Fourth Proportional to 14,023.78, 19,353.18 and 7,650.48

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Solution

The fourth proportional to 14,023.78, 19,353.18 and 7,650.48 is: 10,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.78 : 19,353.18 = 7,650.48 : x
  2. Step 2: Convert to fraction form
    14,023.78/19,353.18 = 7,650.48/x
  3. Step 3: Cross multiply
    14,023.78x = 19,353.18 × 7,650.48
  4. Step 4: Simplify right side
    14,023.78x = 148,061,072.64
  5. Step 5: Solve for x
    x = 148,061,072.64/14,023.78
  6. Step 6: Final answer
    x = 10,557.86

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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.