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Finding the Fourth Proportional to 9,653.69, 13,326 and 8,169.32

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Solution

The fourth proportional to 9,653.69, 13,326 and 8,169.32 is: 11,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.69 : 13,326 = 8,169.32 : x
  2. Step 2: Convert to fraction form
    9,653.69/13,326 = 8,169.32/x
  3. Step 3: Cross multiply
    9,653.69x = 13,326 × 8,169.32
  4. Step 4: Simplify right side
    9,653.69x = 108,864,358.32
  5. Step 5: Solve for x
    x = 108,864,358.32/9,653.69
  6. Step 6: Final answer
    x = 11,276.97

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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.