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Finding the Fourth Proportional to 27,080.25, 40,626.99 and 10,213.50

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Solution

The fourth proportional to 27,080.25, 40,626.99 and 10,213.50 is: 15,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,080.25 : 40,626.99 = 10,213.50 : x
  2. Step 2: Convert to fraction form
    27,080.25/40,626.99 = 10,213.50/x
  3. Step 3: Cross multiply
    27,080.25x = 40,626.99 × 10,213.50
  4. Step 4: Simplify right side
    27,080.25x = 414,943,762.37
  5. Step 5: Solve for x
    x = 414,943,762.37/27,080.25
  6. Step 6: Final answer
    x = 15,322.74

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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.