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Finding the Fourth Proportional to 27,830.70, 41,745.78 and 7,054.20

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Solution

The fourth proportional to 27,830.70, 41,745.78 and 7,054.20 is: 10,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.70 : 41,745.78 = 7,054.20 : x
  2. Step 2: Convert to fraction form
    27,830.70/41,745.78 = 7,054.20/x
  3. Step 3: Cross multiply
    27,830.70x = 41,745.78 × 7,054.20
  4. Step 4: Simplify right side
    27,830.70x = 294,483,081.28
  5. Step 5: Solve for x
    x = 294,483,081.28/27,830.70
  6. Step 6: Final answer
    x = 10,581.23

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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.