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Finding the Fourth Proportional to 6,316.97, 8,706.96 and 5,787.54

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Solution

The fourth proportional to 6,316.97, 8,706.96 and 5,787.54 is: 7,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.97 : 8,706.96 = 5,787.54 : x
  2. Step 2: Convert to fraction form
    6,316.97/8,706.96 = 5,787.54/x
  3. Step 3: Cross multiply
    6,316.97x = 8,706.96 × 5,787.54
  4. Step 4: Simplify right side
    6,316.97x = 50,391,879.28
  5. Step 5: Solve for x
    x = 50,391,879.28/6,316.97
  6. Step 6: Final answer
    x = 7,977.23

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1.5x scale

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.