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Finding the Fourth Proportional to 16,506.80, 24,763.20 and 5,410.40

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Solution

The fourth proportional to 16,506.80, 24,763.20 and 5,410.40 is: 8,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.80 : 24,763.20 = 5,410.40 : x
  2. Step 2: Convert to fraction form
    16,506.80/24,763.20 = 5,410.40/x
  3. Step 3: Cross multiply
    16,506.80x = 24,763.20 × 5,410.40
  4. Step 4: Simplify right side
    16,506.80x = 133,978,817.28
  5. Step 5: Solve for x
    x = 133,978,817.28/16,506.80
  6. Step 6: Final answer
    x = 8,116.58

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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.