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Finding the Fourth Proportional to 17,977.90, 26,970.74 and 6,884.58

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Solution

The fourth proportional to 17,977.90, 26,970.74 and 6,884.58 is: 10,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.90 : 26,970.74 = 6,884.58 : x
  2. Step 2: Convert to fraction form
    17,977.90/26,970.74 = 6,884.58/x
  3. Step 3: Cross multiply
    17,977.90x = 26,970.74 × 6,884.58
  4. Step 4: Simplify right side
    17,977.90x = 185,682,290.36
  5. Step 5: Solve for x
    x = 185,682,290.36/17,977.90
  6. Step 6: Final answer
    x = 10,328.37

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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.