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Finding the Fourth Proportional to 16,364.21, 22,583.49 and 9,653.77

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Solution

The fourth proportional to 16,364.21, 22,583.49 and 9,653.77 is: 13,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.21 : 22,583.49 = 9,653.77 : x
  2. Step 2: Convert to fraction form
    16,364.21/22,583.49 = 9,653.77/x
  3. Step 3: Cross multiply
    16,364.21x = 22,583.49 × 9,653.77
  4. Step 4: Simplify right side
    16,364.21x = 218,015,705.34
  5. Step 5: Solve for x
    x = 218,015,705.34/16,364.21
  6. Step 6: Final answer
    x = 13,322.71

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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.