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Finding the Fourth Proportional to 11,768.16, 17,537.58 and 11,412.16

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Solution

The fourth proportional to 11,768.16, 17,537.58 and 11,412.16 is: 17,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.16 : 17,537.58 = 11,412.16 : x
  2. Step 2: Convert to fraction form
    11,768.16/17,537.58 = 11,412.16/x
  3. Step 3: Cross multiply
    11,768.16x = 17,537.58 × 11,412.16
  4. Step 4: Simplify right side
    11,768.16x = 200,141,668.97
  5. Step 5: Solve for x
    x = 200,141,668.97/11,768.16
  6. Step 6: Final answer
    x = 17,007.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.