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Finding the Fourth Proportional to 6,506.96, 8,979.65 and 3,522.84

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Solution

The fourth proportional to 6,506.96, 8,979.65 and 3,522.84 is: 4,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.96 : 8,979.65 = 3,522.84 : x
  2. Step 2: Convert to fraction form
    6,506.96/8,979.65 = 3,522.84/x
  3. Step 3: Cross multiply
    6,506.96x = 8,979.65 × 3,522.84
  4. Step 4: Simplify right side
    6,506.96x = 31,633,852.59
  5. Step 5: Solve for x
    x = 31,633,852.59/6,506.96
  6. Step 6: Final answer
    x = 4,861.54

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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.