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Finding the Fourth Proportional to 27,980.42, 41,969.30 and 6,920.40

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Solution

The fourth proportional to 27,980.42, 41,969.30 and 6,920.40 is: 10,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.42 : 41,969.30 = 6,920.40 : x
  2. Step 2: Convert to fraction form
    27,980.42/41,969.30 = 6,920.40/x
  3. Step 3: Cross multiply
    27,980.42x = 41,969.30 × 6,920.40
  4. Step 4: Simplify right side
    27,980.42x = 290,444,343.72
  5. Step 5: Solve for x
    x = 290,444,343.72/27,980.42
  6. Step 6: Final answer
    x = 10,380.27

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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.