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Finding the Fourth Proportional to 11,808.56, 17,707.08 and 6,742.16

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Solution

The fourth proportional to 11,808.56, 17,707.08 and 6,742.16 is: 10,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.56 : 17,707.08 = 6,742.16 : x
  2. Step 2: Convert to fraction form
    11,808.56/17,707.08 = 6,742.16/x
  3. Step 3: Cross multiply
    11,808.56x = 17,707.08 × 6,742.16
  4. Step 4: Simplify right side
    11,808.56x = 119,383,966.49
  5. Step 5: Solve for x
    x = 119,383,966.49/11,808.56
  6. Step 6: Final answer
    x = 10,109.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.