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Finding the Fourth Proportional to 9,014.40, 13,550.76 and 8,094.24

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Solution

The fourth proportional to 9,014.40, 13,550.76 and 8,094.24 is: 12,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.40 : 13,550.76 = 8,094.24 : x
  2. Step 2: Convert to fraction form
    9,014.40/13,550.76 = 8,094.24/x
  3. Step 3: Cross multiply
    9,014.40x = 13,550.76 × 8,094.24
  4. Step 4: Simplify right side
    9,014.40x = 109,683,103.62
  5. Step 5: Solve for x
    x = 109,683,103.62/9,014.40
  6. Step 6: Final answer
    x = 12,167.54

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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.