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Finding the Fourth Proportional to 27,804.96, 41,706.96 and 7,028.40

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Solution

The fourth proportional to 27,804.96, 41,706.96 and 7,028.40 is: 10,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.96 : 41,706.96 = 7,028.40 : x
  2. Step 2: Convert to fraction form
    27,804.96/41,706.96 = 7,028.40/x
  3. Step 3: Cross multiply
    27,804.96x = 41,706.96 × 7,028.40
  4. Step 4: Simplify right side
    27,804.96x = 293,133,197.66
  5. Step 5: Solve for x
    x = 293,133,197.66/27,804.96
  6. Step 6: Final answer
    x = 10,542.48

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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.