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Finding the Fourth Proportional to 14,647.78, 20,214.02 and 7,933.43

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Solution

The fourth proportional to 14,647.78, 20,214.02 and 7,933.43 is: 10,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.78 : 20,214.02 = 7,933.43 : x
  2. Step 2: Convert to fraction form
    14,647.78/20,214.02 = 7,933.43/x
  3. Step 3: Cross multiply
    14,647.78x = 20,214.02 × 7,933.43
  4. Step 4: Simplify right side
    14,647.78x = 160,366,424.73
  5. Step 5: Solve for x
    x = 160,366,424.73/14,647.78
  6. Step 6: Final answer
    x = 10,948.17

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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.