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Finding the Fourth Proportional to 11,750.10, 16,214.11 and 6,713.31

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Solution

The fourth proportional to 11,750.10, 16,214.11 and 6,713.31 is: 9,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.10 : 16,214.11 = 6,713.31 : x
  2. Step 2: Convert to fraction form
    11,750.10/16,214.11 = 6,713.31/x
  3. Step 3: Cross multiply
    11,750.10x = 16,214.11 × 6,713.31
  4. Step 4: Simplify right side
    11,750.10x = 108,850,390.82
  5. Step 5: Solve for x
    x = 108,850,390.82/11,750.10
  6. Step 6: Final answer
    x = 9,263.79

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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.