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Finding the Fourth Proportional to 9,698.46, 13,382.86 and 6,511.11

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Solution

The fourth proportional to 9,698.46, 13,382.86 and 6,511.11 is: 8,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.46 : 13,382.86 = 6,511.11 : x
  2. Step 2: Convert to fraction form
    9,698.46/13,382.86 = 6,511.11/x
  3. Step 3: Cross multiply
    9,698.46x = 13,382.86 × 6,511.11
  4. Step 4: Simplify right side
    9,698.46x = 87,137,257.30
  5. Step 5: Solve for x
    x = 87,137,257.30/9,698.46
  6. Step 6: Final answer
    x = 8,984.65

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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.