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Finding the Fourth Proportional to 16,644.23, 22,966.97 and 9,475.07

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Solution

The fourth proportional to 16,644.23, 22,966.97 and 9,475.07 is: 13,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.23 : 22,966.97 = 9,475.07 : x
  2. Step 2: Convert to fraction form
    16,644.23/22,966.97 = 9,475.07/x
  3. Step 3: Cross multiply
    16,644.23x = 22,966.97 × 9,475.07
  4. Step 4: Simplify right side
    16,644.23x = 217,613,486.23
  5. Step 5: Solve for x
    x = 217,613,486.23/16,644.23
  6. Step 6: Final answer
    x = 13,074.41

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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.