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Finding the Fourth Proportional to 11,673.84, 17,511 and 6,512.56

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Solution

The fourth proportional to 11,673.84, 17,511 and 6,512.56 is: 9,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.84 : 17,511 = 6,512.56 : x
  2. Step 2: Convert to fraction form
    11,673.84/17,511 = 6,512.56/x
  3. Step 3: Cross multiply
    11,673.84x = 17,511 × 6,512.56
  4. Step 4: Simplify right side
    11,673.84x = 114,041,438.16
  5. Step 5: Solve for x
    x = 114,041,438.16/11,673.84
  6. Step 6: Final answer
    x = 9,768.97

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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.