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Finding the Fourth Proportional to 9,793.80, 14,658.30 and 8,627.40

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Solution

The fourth proportional to 9,793.80, 14,658.30 and 8,627.40 is: 12,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.80 : 14,658.30 = 8,627.40 : x
  2. Step 2: Convert to fraction form
    9,793.80/14,658.30 = 8,627.40/x
  3. Step 3: Cross multiply
    9,793.80x = 14,658.30 × 8,627.40
  4. Step 4: Simplify right side
    9,793.80x = 126,463,017.42
  5. Step 5: Solve for x
    x = 126,463,017.42/9,793.80
  6. Step 6: Final answer
    x = 12,912.56

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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.