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Finding the Fourth Proportional to 6,012.81, 9,013.14 and 3,410.28

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Solution

The fourth proportional to 6,012.81, 9,013.14 and 3,410.28 is: 5,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.81 : 9,013.14 = 3,410.28 : x
  2. Step 2: Convert to fraction form
    6,012.81/9,013.14 = 3,410.28/x
  3. Step 3: Cross multiply
    6,012.81x = 9,013.14 × 3,410.28
  4. Step 4: Simplify right side
    6,012.81x = 30,737,331.08
  5. Step 5: Solve for x
    x = 30,737,331.08/6,012.81
  6. Step 6: Final answer
    x = 5,111.97

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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.