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Finding the Fourth Proportional to 9,206.40, 13,793.40 and 7,910.40

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Solution

The fourth proportional to 9,206.40, 13,793.40 and 7,910.40 is: 11,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.40 : 13,793.40 = 7,910.40 : x
  2. Step 2: Convert to fraction form
    9,206.40/13,793.40 = 7,910.40/x
  3. Step 3: Cross multiply
    9,206.40x = 13,793.40 × 7,910.40
  4. Step 4: Simplify right side
    9,206.40x = 109,111,311.36
  5. Step 5: Solve for x
    x = 109,111,311.36/9,206.40
  6. Step 6: Final answer
    x = 11,851.68

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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.