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Finding the Fourth Proportional to 11,078.51, 16,623.97 and 5,884.25

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Solution

The fourth proportional to 11,078.51, 16,623.97 and 5,884.25 is: 8,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.51 : 16,623.97 = 5,884.25 : x
  2. Step 2: Convert to fraction form
    11,078.51/16,623.97 = 5,884.25/x
  3. Step 3: Cross multiply
    11,078.51x = 16,623.97 × 5,884.25
  4. Step 4: Simplify right side
    11,078.51x = 97,819,497.64
  5. Step 5: Solve for x
    x = 97,819,497.64/11,078.51
  6. Step 6: Final answer
    x = 8,829.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.