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Finding the Fourth Proportional to 11,071.40, 16,563.90 and 7,183.40

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Solution

The fourth proportional to 11,071.40, 16,563.90 and 7,183.40 is: 10,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.40 : 16,563.90 = 7,183.40 : x
  2. Step 2: Convert to fraction form
    11,071.40/16,563.90 = 7,183.40/x
  3. Step 3: Cross multiply
    11,071.40x = 16,563.90 × 7,183.40
  4. Step 4: Simplify right side
    11,071.40x = 118,985,119.26
  5. Step 5: Solve for x
    x = 118,985,119.26/11,071.40
  6. Step 6: Final answer
    x = 10,747.07

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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.