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Finding the Fourth Proportional to 9,205.80, 12,698.94 and 6,015.06

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Solution

The fourth proportional to 9,205.80, 12,698.94 and 6,015.06 is: 8,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.80 : 12,698.94 = 6,015.06 : x
  2. Step 2: Convert to fraction form
    9,205.80/12,698.94 = 6,015.06/x
  3. Step 3: Cross multiply
    9,205.80x = 12,698.94 × 6,015.06
  4. Step 4: Simplify right side
    9,205.80x = 76,384,886.04
  5. Step 5: Solve for x
    x = 76,384,886.04/9,205.80
  6. Step 6: Final answer
    x = 8,297.47

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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.