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Finding the Fourth Proportional to 9,842.83, 13,554.07 and 8,794.51

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Solution

The fourth proportional to 9,842.83, 13,554.07 and 8,794.51 is: 12,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.83 : 13,554.07 = 8,794.51 : x
  2. Step 2: Convert to fraction form
    9,842.83/13,554.07 = 8,794.51/x
  3. Step 3: Cross multiply
    9,842.83x = 13,554.07 × 8,794.51
  4. Step 4: Simplify right side
    9,842.83x = 119,201,404.16
  5. Step 5: Solve for x
    x = 119,201,404.16/9,842.83
  6. Step 6: Final answer
    x = 12,110.48

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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.