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Finding the Fourth Proportional to 16,193.57, 24,290.80 and 4,506.80

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Solution

The fourth proportional to 16,193.57, 24,290.80 and 4,506.80 is: 6,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.57 : 24,290.80 = 4,506.80 : x
  2. Step 2: Convert to fraction form
    16,193.57/24,290.80 = 4,506.80/x
  3. Step 3: Cross multiply
    16,193.57x = 24,290.80 × 4,506.80
  4. Step 4: Simplify right side
    16,193.57x = 109,473,644.72
  5. Step 5: Solve for x
    x = 109,473,644.72/16,193.57
  6. Step 6: Final answer
    x = 6,760.32

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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.