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Finding the Fourth Proportional to 27,698.04, 41,553.26 and 7,975.08

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Solution

The fourth proportional to 27,698.04, 41,553.26 and 7,975.08 is: 11,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.04 : 41,553.26 = 7,975.08 : x
  2. Step 2: Convert to fraction form
    27,698.04/41,553.26 = 7,975.08/x
  3. Step 3: Cross multiply
    27,698.04x = 41,553.26 × 7,975.08
  4. Step 4: Simplify right side
    27,698.04x = 331,390,572.76
  5. Step 5: Solve for x
    x = 331,390,572.76/27,698.04
  6. Step 6: Final answer
    x = 11,964.41

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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.