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Finding the Fourth Proportional to 4,800.36, 7,196.86 and 1,678.60

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Solution

The fourth proportional to 4,800.36, 7,196.86 and 1,678.60 is: 2,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.36 : 7,196.86 = 1,678.60 : x
  2. Step 2: Convert to fraction form
    4,800.36/7,196.86 = 1,678.60/x
  3. Step 3: Cross multiply
    4,800.36x = 7,196.86 × 1,678.60
  4. Step 4: Simplify right side
    4,800.36x = 12,080,649.20
  5. Step 5: Solve for x
    x = 12,080,649.20/4,800.36
  6. Step 6: Final answer
    x = 2,516.61

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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.