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Finding the Fourth Proportional to 6,506.75, 8,979.32 and 3,854.34

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Solution

The fourth proportional to 6,506.75, 8,979.32 and 3,854.34 is: 5,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.75 : 8,979.32 = 3,854.34 : x
  2. Step 2: Convert to fraction form
    6,506.75/8,979.32 = 3,854.34/x
  3. Step 3: Cross multiply
    6,506.75x = 8,979.32 × 3,854.34
  4. Step 4: Simplify right side
    6,506.75x = 34,609,352.25
  5. Step 5: Solve for x
    x = 34,609,352.25/6,506.75
  6. Step 6: Final answer
    x = 5,318.99

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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.