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Finding the Fourth Proportional to 12,003.96, 16,562.82 and 6,965.26

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Solution

The fourth proportional to 12,003.96, 16,562.82 and 6,965.26 is: 9,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.96 : 16,562.82 = 6,965.26 : x
  2. Step 2: Convert to fraction form
    12,003.96/16,562.82 = 6,965.26/x
  3. Step 3: Cross multiply
    12,003.96x = 16,562.82 × 6,965.26
  4. Step 4: Simplify right side
    12,003.96x = 115,364,347.63
  5. Step 5: Solve for x
    x = 115,364,347.63/12,003.96
  6. Step 6: Final answer
    x = 9,610.52

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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.