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Finding the Fourth Proportional to 6,206.40, 9,293.40 and 4,899.60

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Solution

The fourth proportional to 6,206.40, 9,293.40 and 4,899.60 is: 7,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.40 : 9,293.40 = 4,899.60 : x
  2. Step 2: Convert to fraction form
    6,206.40/9,293.40 = 4,899.60/x
  3. Step 3: Cross multiply
    6,206.40x = 9,293.40 × 4,899.60
  4. Step 4: Simplify right side
    6,206.40x = 45,533,942.64
  5. Step 5: Solve for x
    x = 45,533,942.64/6,206.40
  6. Step 6: Final answer
    x = 7,336.61

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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.