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Finding the Fourth Proportional to 6,464.96, 8,921.76 and 3,670.16

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Solution

The fourth proportional to 6,464.96, 8,921.76 and 3,670.16 is: 5,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.96 : 8,921.76 = 3,670.16 : x
  2. Step 2: Convert to fraction form
    6,464.96/8,921.76 = 3,670.16/x
  3. Step 3: Cross multiply
    6,464.96x = 8,921.76 × 3,670.16
  4. Step 4: Simplify right side
    6,464.96x = 32,744,286.68
  5. Step 5: Solve for x
    x = 32,744,286.68/6,464.96
  6. Step 6: Final answer
    x = 5,064.89

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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.