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Finding the Fourth Proportional to 27,698.00, 41,554.13 and 7,978.09

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Solution

The fourth proportional to 27,698.00, 41,554.13 and 7,978.09 is: 11,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.00 : 41,554.13 = 7,978.09 : x
  2. Step 2: Convert to fraction form
    27,698.00/41,554.13 = 7,978.09/x
  3. Step 3: Cross multiply
    27,698.00x = 41,554.13 × 7,978.09
  4. Step 4: Simplify right side
    27,698.00x = 331,522,445.24
  5. Step 5: Solve for x
    x = 331,522,445.24/27,698.00
  6. Step 6: Final answer
    x = 11,969.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.