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Finding the Fourth Proportional to 10,951.60, 16,405.80 and 6,329.20

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Solution

The fourth proportional to 10,951.60, 16,405.80 and 6,329.20 is: 9,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.60 : 16,405.80 = 6,329.20 : x
  2. Step 2: Convert to fraction form
    10,951.60/16,405.80 = 6,329.20/x
  3. Step 3: Cross multiply
    10,951.60x = 16,405.80 × 6,329.20
  4. Step 4: Simplify right side
    10,951.60x = 103,835,589.36
  5. Step 5: Solve for x
    x = 103,835,589.36/10,951.60
  6. Step 6: Final answer
    x = 9,481.32

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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.