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Finding the Fourth Proportional to 6,518.12, 9,777.18 and 1,901.48

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Solution

The fourth proportional to 6,518.12, 9,777.18 and 1,901.48 is: 2,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.12 : 9,777.18 = 1,901.48 : x
  2. Step 2: Convert to fraction form
    6,518.12/9,777.18 = 1,901.48/x
  3. Step 3: Cross multiply
    6,518.12x = 9,777.18 × 1,901.48
  4. Step 4: Simplify right side
    6,518.12x = 18,591,112.23
  5. Step 5: Solve for x
    x = 18,591,112.23/6,518.12
  6. Step 6: Final answer
    x = 2,852.22

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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.