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Finding the Fourth Proportional to 10,728.44, 14,804.16 and 6,013.16

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Solution

The fourth proportional to 10,728.44, 14,804.16 and 6,013.16 is: 8,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.44 : 14,804.16 = 6,013.16 : x
  2. Step 2: Convert to fraction form
    10,728.44/14,804.16 = 6,013.16/x
  3. Step 3: Cross multiply
    10,728.44x = 14,804.16 × 6,013.16
  4. Step 4: Simplify right side
    10,728.44x = 89,019,782.75
  5. Step 5: Solve for x
    x = 89,019,782.75/10,728.44
  6. Step 6: Final answer
    x = 8,297.55

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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.