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Finding the Fourth Proportional to 6,858.51, 10,227.81 and 6,102.51

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Solution

The fourth proportional to 6,858.51, 10,227.81 and 6,102.51 is: 9,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.51 : 10,227.81 = 6,102.51 : x
  2. Step 2: Convert to fraction form
    6,858.51/10,227.81 = 6,102.51/x
  3. Step 3: Cross multiply
    6,858.51x = 10,227.81 × 6,102.51
  4. Step 4: Simplify right side
    6,858.51x = 62,415,302.49
  5. Step 5: Solve for x
    x = 62,415,302.49/6,858.51
  6. Step 6: Final answer
    x = 9,100.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.