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Finding the Fourth Proportional to 6,477.16, 9,720.82 and 4,516.60

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Solution

The fourth proportional to 6,477.16, 9,720.82 and 4,516.60 is: 6,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.16 : 9,720.82 = 4,516.60 : x
  2. Step 2: Convert to fraction form
    6,477.16/9,720.82 = 4,516.60/x
  3. Step 3: Cross multiply
    6,477.16x = 9,720.82 × 4,516.60
  4. Step 4: Simplify right side
    6,477.16x = 43,905,055.61
  5. Step 5: Solve for x
    x = 43,905,055.61/6,477.16
  6. Step 6: Final answer
    x = 6,778.44

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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.