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Finding the Fourth Proportional to 11,852.63, 16,356.03 and 6,546.42

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Solution

The fourth proportional to 11,852.63, 16,356.03 and 6,546.42 is: 9,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.63 : 16,356.03 = 6,546.42 : x
  2. Step 2: Convert to fraction form
    11,852.63/16,356.03 = 6,546.42/x
  3. Step 3: Cross multiply
    11,852.63x = 16,356.03 × 6,546.42
  4. Step 4: Simplify right side
    11,852.63x = 107,073,417.36
  5. Step 5: Solve for x
    x = 107,073,417.36/11,852.63
  6. Step 6: Final answer
    x = 9,033.73

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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.