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Finding the Fourth Proportional to 11,828.16, 16,322.94 and 6,523.32

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Solution

The fourth proportional to 11,828.16, 16,322.94 and 6,523.32 is: 9,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.16 : 16,322.94 = 6,523.32 : x
  2. Step 2: Convert to fraction form
    11,828.16/16,322.94 = 6,523.32/x
  3. Step 3: Cross multiply
    11,828.16x = 16,322.94 × 6,523.32
  4. Step 4: Simplify right side
    11,828.16x = 106,479,760.96
  5. Step 5: Solve for x
    x = 106,479,760.96/11,828.16
  6. Step 6: Final answer
    x = 9,002.23

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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.