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Finding the Fourth Proportional to 12,653.66, 17,462.07 and 6,911.11

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Solution

The fourth proportional to 12,653.66, 17,462.07 and 6,911.11 is: 9,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.66 : 17,462.07 = 6,911.11 : x
  2. Step 2: Convert to fraction form
    12,653.66/17,462.07 = 6,911.11/x
  3. Step 3: Cross multiply
    12,653.66x = 17,462.07 × 6,911.11
  4. Step 4: Simplify right side
    12,653.66x = 120,682,286.60
  5. Step 5: Solve for x
    x = 120,682,286.60/12,653.66
  6. Step 6: Final answer
    x = 9,537.34

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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.