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Finding the Fourth Proportional to 10,728.36, 14,804.91 and 6,012.54

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Solution

The fourth proportional to 10,728.36, 14,804.91 and 6,012.54 is: 8,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.36 : 14,804.91 = 6,012.54 : x
  2. Step 2: Convert to fraction form
    10,728.36/14,804.91 = 6,012.54/x
  3. Step 3: Cross multiply
    10,728.36x = 14,804.91 × 6,012.54
  4. Step 4: Simplify right side
    10,728.36x = 89,015,113.57
  5. Step 5: Solve for x
    x = 89,015,113.57/10,728.36
  6. Step 6: Final answer
    x = 8,297.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.