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Finding the Fourth Proportional to 16,404.94, 24,605.85 and 6,541.58

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Solution

The fourth proportional to 16,404.94, 24,605.85 and 6,541.58 is: 9,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.94 : 24,605.85 = 6,541.58 : x
  2. Step 2: Convert to fraction form
    16,404.94/24,605.85 = 6,541.58/x
  3. Step 3: Cross multiply
    16,404.94x = 24,605.85 × 6,541.58
  4. Step 4: Simplify right side
    16,404.94x = 160,961,136.24
  5. Step 5: Solve for x
    x = 160,961,136.24/16,404.94
  6. Step 6: Final answer
    x = 9,811.75

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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.