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Finding the Fourth Proportional to 11,617, 16,031.54 and 6,311.82

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Solution

The fourth proportional to 11,617, 16,031.54 and 6,311.82 is: 8,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617 : 16,031.54 = 6,311.82 : x
  2. Step 2: Convert to fraction form
    11,617/16,031.54 = 6,311.82/x
  3. Step 3: Cross multiply
    11,617x = 16,031.54 × 6,311.82
  4. Step 4: Simplify right side
    11,617x = 101,188,083.09
  5. Step 5: Solve for x
    x = 101,188,083.09/11,617
  6. Step 6: Final answer
    x = 8,710.35

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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.