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Finding the Fourth Proportional to 11,351.16, 15,664.74 and 6,383.16

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Solution

The fourth proportional to 11,351.16, 15,664.74 and 6,383.16 is: 8,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.16 : 15,664.74 = 6,383.16 : x
  2. Step 2: Convert to fraction form
    11,351.16/15,664.74 = 6,383.16/x
  3. Step 3: Cross multiply
    11,351.16x = 15,664.74 × 6,383.16
  4. Step 4: Simplify right side
    11,351.16x = 99,990,541.78
  5. Step 5: Solve for x
    x = 99,990,541.78/11,351.16
  6. Step 6: Final answer
    x = 8,808.84

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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.