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Finding the Fourth Proportional to 9,205.65, 12,698.37 and 6,513.84

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Solution

The fourth proportional to 9,205.65, 12,698.37 and 6,513.84 is: 8,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.65 : 12,698.37 = 6,513.84 : x
  2. Step 2: Convert to fraction form
    9,205.65/12,698.37 = 6,513.84/x
  3. Step 3: Cross multiply
    9,205.65x = 12,698.37 × 6,513.84
  4. Step 4: Simplify right side
    9,205.65x = 82,715,150.44
  5. Step 5: Solve for x
    x = 82,715,150.44/9,205.65
  6. Step 6: Final answer
    x = 8,985.26

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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.