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Finding the Fourth Proportional to 6,225.54, 9,338.10 and 1,843.08

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Solution

The fourth proportional to 6,225.54, 9,338.10 and 1,843.08 is: 2,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.54 : 9,338.10 = 1,843.08 : x
  2. Step 2: Convert to fraction form
    6,225.54/9,338.10 = 1,843.08/x
  3. Step 3: Cross multiply
    6,225.54x = 9,338.10 × 1,843.08
  4. Step 4: Simplify right side
    6,225.54x = 17,210,865.35
  5. Step 5: Solve for x
    x = 17,210,865.35/6,225.54
  6. Step 6: Final answer
    x = 2,764.56

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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.