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Finding the Fourth Proportional to 16,384.60, 24,576.90 and 6,518.80

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Solution

The fourth proportional to 16,384.60, 24,576.90 and 6,518.80 is: 9,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.60 : 24,576.90 = 6,518.80 : x
  2. Step 2: Convert to fraction form
    16,384.60/24,576.90 = 6,518.80/x
  3. Step 3: Cross multiply
    16,384.60x = 24,576.90 × 6,518.80
  4. Step 4: Simplify right side
    16,384.60x = 160,211,895.72
  5. Step 5: Solve for x
    x = 160,211,895.72/16,384.60
  6. Step 6: Final answer
    x = 9,778.20

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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.