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Finding the Fourth Proportional to 6,318, 8,715.60 and 4,745.52

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Solution

The fourth proportional to 6,318, 8,715.60 and 4,745.52 is: 6,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318 : 8,715.60 = 4,745.52 : x
  2. Step 2: Convert to fraction form
    6,318/8,715.60 = 4,745.52/x
  3. Step 3: Cross multiply
    6,318x = 8,715.60 × 4,745.52
  4. Step 4: Simplify right side
    6,318x = 41,360,054.11
  5. Step 5: Solve for x
    x = 41,360,054.11/6,318
  6. Step 6: Final answer
    x = 6,546.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.