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Finding the Fourth Proportional to 19,600.10, 27,048.02 and 10,647.54

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Solution

The fourth proportional to 19,600.10, 27,048.02 and 10,647.54 is: 14,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600.10 : 27,048.02 = 10,647.54 : x
  2. Step 2: Convert to fraction form
    19,600.10/27,048.02 = 10,647.54/x
  3. Step 3: Cross multiply
    19,600.10x = 27,048.02 × 10,647.54
  4. Step 4: Simplify right side
    19,600.10x = 287,994,874.87
  5. Step 5: Solve for x
    x = 287,994,874.87/19,600.10
  6. Step 6: Final answer
    x = 14,693.54

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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.