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Finding the Fourth Proportional to 8,047.70, 12,103.95 and 7,205.30

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Solution

The fourth proportional to 8,047.70, 12,103.95 and 7,205.30 is: 10,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.70 : 12,103.95 = 7,205.30 : x
  2. Step 2: Convert to fraction form
    8,047.70/12,103.95 = 7,205.30/x
  3. Step 3: Cross multiply
    8,047.70x = 12,103.95 × 7,205.30
  4. Step 4: Simplify right side
    8,047.70x = 87,212,590.94
  5. Step 5: Solve for x
    x = 87,212,590.94/8,047.70
  6. Step 6: Final answer
    x = 10,836.96

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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.