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Finding the Fourth Proportional to 27,837.80, 41,756.60 and 6,777.60

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Solution

The fourth proportional to 27,837.80, 41,756.60 and 6,777.60 is: 10,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837.80 : 41,756.60 = 6,777.60 : x
  2. Step 2: Convert to fraction form
    27,837.80/41,756.60 = 6,777.60/x
  3. Step 3: Cross multiply
    27,837.80x = 41,756.60 × 6,777.60
  4. Step 4: Simplify right side
    27,837.80x = 283,009,532.16
  5. Step 5: Solve for x
    x = 283,009,532.16/27,837.80
  6. Step 6: Final answer
    x = 10,166.38

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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.