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Finding the Fourth Proportional to 16,647.42, 24,964.57 and 6,114.30

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Solution

The fourth proportional to 16,647.42, 24,964.57 and 6,114.30 is: 9,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.42 : 24,964.57 = 6,114.30 : x
  2. Step 2: Convert to fraction form
    16,647.42/24,964.57 = 6,114.30/x
  3. Step 3: Cross multiply
    16,647.42x = 24,964.57 × 6,114.30
  4. Step 4: Simplify right side
    16,647.42x = 152,640,870.35
  5. Step 5: Solve for x
    x = 152,640,870.35/16,647.42
  6. Step 6: Final answer
    x = 9,169.04

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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.