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Finding the Fourth Proportional to 6,303.33, 9,456.41 and 1,921.23

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Solution

The fourth proportional to 6,303.33, 9,456.41 and 1,921.23 is: 2,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.33 : 9,456.41 = 1,921.23 : x
  2. Step 2: Convert to fraction form
    6,303.33/9,456.41 = 1,921.23/x
  3. Step 3: Cross multiply
    6,303.33x = 9,456.41 × 1,921.23
  4. Step 4: Simplify right side
    6,303.33x = 18,167,943.39
  5. Step 5: Solve for x
    x = 18,167,943.39/6,303.33
  6. Step 6: Final answer
    x = 2,882.28

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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.