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Finding the Fourth Proportional to 6,341.76, 9,516.60 and 4,563

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Solution

The fourth proportional to 6,341.76, 9,516.60 and 4,563 is: 6,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.76 : 9,516.60 = 4,563 : x
  2. Step 2: Convert to fraction form
    6,341.76/9,516.60 = 4,563/x
  3. Step 3: Cross multiply
    6,341.76x = 9,516.60 × 4,563
  4. Step 4: Simplify right side
    6,341.76x = 43,424,245.80
  5. Step 5: Solve for x
    x = 43,424,245.80/6,341.76
  6. Step 6: Final answer
    x = 6,847.35

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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.