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Finding the Fourth Proportional to 6,506.42, 8,979.16 and 3,674.92

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Solution

The fourth proportional to 6,506.42, 8,979.16 and 3,674.92 is: 5,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.42 : 8,979.16 = 3,674.92 : x
  2. Step 2: Convert to fraction form
    6,506.42/8,979.16 = 3,674.92/x
  3. Step 3: Cross multiply
    6,506.42x = 8,979.16 × 3,674.92
  4. Step 4: Simplify right side
    6,506.42x = 32,997,694.67
  5. Step 5: Solve for x
    x = 32,997,694.67/6,506.42
  6. Step 6: Final answer
    x = 5,071.56

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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.