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Finding the Fourth Proportional to 16,147.60, 24,230.60 and 6,285.60

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Solution

The fourth proportional to 16,147.60, 24,230.60 and 6,285.60 is: 9,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.60 : 24,230.60 = 6,285.60 : x
  2. Step 2: Convert to fraction form
    16,147.60/24,230.60 = 6,285.60/x
  3. Step 3: Cross multiply
    16,147.60x = 24,230.60 × 6,285.60
  4. Step 4: Simplify right side
    16,147.60x = 152,303,859.36
  5. Step 5: Solve for x
    x = 152,303,859.36/16,147.60
  6. Step 6: Final answer
    x = 9,431.98

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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.