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Finding the Fourth Proportional to 16,509.82, 24,770.90 and 6,651.90

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Solution

The fourth proportional to 16,509.82, 24,770.90 and 6,651.90 is: 9,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.82 : 24,770.90 = 6,651.90 : x
  2. Step 2: Convert to fraction form
    16,509.82/24,770.90 = 6,651.90/x
  3. Step 3: Cross multiply
    16,509.82x = 24,770.90 × 6,651.90
  4. Step 4: Simplify right side
    16,509.82x = 164,773,392.60
  5. Step 5: Solve for x
    x = 164,773,392.60/16,509.82
  6. Step 6: Final answer
    x = 9,980.33

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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.