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Finding the Fourth Proportional to 7,469.40, 11,204.10 and 4,704.60

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Solution

The fourth proportional to 7,469.40, 11,204.10 and 4,704.60 is: 7,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.40 : 11,204.10 = 4,704.60 : x
  2. Step 2: Convert to fraction form
    7,469.40/11,204.10 = 4,704.60/x
  3. Step 3: Cross multiply
    7,469.40x = 11,204.10 × 4,704.60
  4. Step 4: Simplify right side
    7,469.40x = 52,710,808.86
  5. Step 5: Solve for x
    x = 52,710,808.86/7,469.40
  6. Step 6: Final answer
    x = 7,056.90

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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.