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Finding the Fourth Proportional to 16,304.16, 24,456.24 and 7,537.44

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Solution

The fourth proportional to 16,304.16, 24,456.24 and 7,537.44 is: 11,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.16 : 24,456.24 = 7,537.44 : x
  2. Step 2: Convert to fraction form
    16,304.16/24,456.24 = 7,537.44/x
  3. Step 3: Cross multiply
    16,304.16x = 24,456.24 × 7,537.44
  4. Step 4: Simplify right side
    16,304.16x = 184,337,441.63
  5. Step 5: Solve for x
    x = 184,337,441.63/16,304.16
  6. Step 6: Final answer
    x = 11,306.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.