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Finding the Fourth Proportional to 9,404.10, 14,128.02 and 8,102.84

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Solution

The fourth proportional to 9,404.10, 14,128.02 and 8,102.84 is: 12,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.10 : 14,128.02 = 8,102.84 : x
  2. Step 2: Convert to fraction form
    9,404.10/14,128.02 = 8,102.84/x
  3. Step 3: Cross multiply
    9,404.10x = 14,128.02 × 8,102.84
  4. Step 4: Simplify right side
    9,404.10x = 114,477,014.94
  5. Step 5: Solve for x
    x = 114,477,014.94/9,404.10
  6. Step 6: Final answer
    x = 12,173.10

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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.