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Finding the Fourth Proportional to 16,643.16, 22,969.44 and 9,474.84

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Solution

The fourth proportional to 16,643.16, 22,969.44 and 9,474.84 is: 13,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.16 : 22,969.44 = 9,474.84 : x
  2. Step 2: Convert to fraction form
    16,643.16/22,969.44 = 9,474.84/x
  3. Step 3: Cross multiply
    16,643.16x = 22,969.44 × 9,474.84
  4. Step 4: Simplify right side
    16,643.16x = 217,631,768.89
  5. Step 5: Solve for x
    x = 217,631,768.89/16,643.16
  6. Step 6: Final answer
    x = 13,076.35

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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.