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Finding the Fourth Proportional to 9,205.46, 12,711.65 and 6,843.50

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Solution

The fourth proportional to 9,205.46, 12,711.65 and 6,843.50 is: 9,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.46 : 12,711.65 = 6,843.50 : x
  2. Step 2: Convert to fraction form
    9,205.46/12,711.65 = 6,843.50/x
  3. Step 3: Cross multiply
    9,205.46x = 12,711.65 × 6,843.50
  4. Step 4: Simplify right side
    9,205.46x = 86,992,113.22
  5. Step 5: Solve for x
    x = 86,992,113.22/9,205.46
  6. Step 6: Final answer
    x = 9,450.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.