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Finding the Fourth Proportional to 6,505.41, 8,982.65 and 6,007.87

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Solution

The fourth proportional to 6,505.41, 8,982.65 and 6,007.87 is: 8,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.41 : 8,982.65 = 6,007.87 : x
  2. Step 2: Convert to fraction form
    6,505.41/8,982.65 = 6,007.87/x
  3. Step 3: Cross multiply
    6,505.41x = 8,982.65 × 6,007.87
  4. Step 4: Simplify right side
    6,505.41x = 53,966,585.91
  5. Step 5: Solve for x
    x = 53,966,585.91/6,505.41
  6. Step 6: Final answer
    x = 8,295.64

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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.