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Finding the Fourth Proportional to 6,825.40, 10,216.22 and 4,600.16

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Solution

The fourth proportional to 6,825.40, 10,216.22 and 4,600.16 is: 6,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.40 : 10,216.22 = 4,600.16 : x
  2. Step 2: Convert to fraction form
    6,825.40/10,216.22 = 4,600.16/x
  3. Step 3: Cross multiply
    6,825.40x = 10,216.22 × 4,600.16
  4. Step 4: Simplify right side
    6,825.40x = 46,996,246.60
  5. Step 5: Solve for x
    x = 46,996,246.60/6,825.40
  6. Step 6: Final answer
    x = 6,885.49

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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.