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Finding the Fourth Proportional to 8,048.54, 11,102.19 and 5,893.94

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Solution

The fourth proportional to 8,048.54, 11,102.19 and 5,893.94 is: 8,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.54 : 11,102.19 = 5,893.94 : x
  2. Step 2: Convert to fraction form
    8,048.54/11,102.19 = 5,893.94/x
  3. Step 3: Cross multiply
    8,048.54x = 11,102.19 × 5,893.94
  4. Step 4: Simplify right side
    8,048.54x = 65,435,641.73
  5. Step 5: Solve for x
    x = 65,435,641.73/8,048.54
  6. Step 6: Final answer
    x = 8,130.13

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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.