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Finding the Fourth Proportional to 11,752.82, 16,218.92 and 6,447.68

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Solution

The fourth proportional to 11,752.82, 16,218.92 and 6,447.68 is: 8,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.82 : 16,218.92 = 6,447.68 : x
  2. Step 2: Convert to fraction form
    11,752.82/16,218.92 = 6,447.68/x
  3. Step 3: Cross multiply
    11,752.82x = 16,218.92 × 6,447.68
  4. Step 4: Simplify right side
    11,752.82x = 104,574,406.11
  5. Step 5: Solve for x
    x = 104,574,406.11/11,752.82
  6. Step 6: Final answer
    x = 8,897.81

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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.