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Finding the Fourth Proportional to 16,107.58, 24,157.72 and 7,345

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Solution

The fourth proportional to 16,107.58, 24,157.72 and 7,345 is: 11,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.58 : 24,157.72 = 7,345 : x
  2. Step 2: Convert to fraction form
    16,107.58/24,157.72 = 7,345/x
  3. Step 3: Cross multiply
    16,107.58x = 24,157.72 × 7,345
  4. Step 4: Simplify right side
    16,107.58x = 177,438,453.40
  5. Step 5: Solve for x
    x = 177,438,453.40/16,107.58
  6. Step 6: Final answer
    x = 11,015.84

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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.