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Finding the Fourth Proportional to 6,113.01, 9,171.06 and 2,828.46

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Solution

The fourth proportional to 6,113.01, 9,171.06 and 2,828.46 is: 4,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.01 : 9,171.06 = 2,828.46 : x
  2. Step 2: Convert to fraction form
    6,113.01/9,171.06 = 2,828.46/x
  3. Step 3: Cross multiply
    6,113.01x = 9,171.06 × 2,828.46
  4. Step 4: Simplify right side
    6,113.01x = 25,939,976.37
  5. Step 5: Solve for x
    x = 25,939,976.37/6,113.01
  6. Step 6: Final answer
    x = 4,243.40

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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.