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Finding the Fourth Proportional to 16,596.16, 24,893.74 and 6,735.20

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Solution

The fourth proportional to 16,596.16, 24,893.74 and 6,735.20 is: 10,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.16 : 24,893.74 = 6,735.20 : x
  2. Step 2: Convert to fraction form
    16,596.16/24,893.74 = 6,735.20/x
  3. Step 3: Cross multiply
    16,596.16x = 24,893.74 × 6,735.20
  4. Step 4: Simplify right side
    16,596.16x = 167,664,317.65
  5. Step 5: Solve for x
    x = 167,664,317.65/16,596.16
  6. Step 6: Final answer
    x = 10,102.60

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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.