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Finding the Fourth Proportional to 9,842.58, 13,553.73 and 8,794.26

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Solution

The fourth proportional to 9,842.58, 13,553.73 and 8,794.26 is: 12,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.58 : 13,553.73 = 8,794.26 : x
  2. Step 2: Convert to fraction form
    9,842.58/13,553.73 = 8,794.26/x
  3. Step 3: Cross multiply
    9,842.58x = 13,553.73 × 8,794.26
  4. Step 4: Simplify right side
    9,842.58x = 119,195,025.59
  5. Step 5: Solve for x
    x = 119,195,025.59/9,842.58
  6. Step 6: Final answer
    x = 12,110.14

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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.