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Finding the Fourth Proportional to 4,707.72, 6,453.45 and 4,664.16

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Solution

The fourth proportional to 4,707.72, 6,453.45 and 4,664.16 is: 6,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.72 : 6,453.45 = 4,664.16 : x
  2. Step 2: Convert to fraction form
    4,707.72/6,453.45 = 4,664.16/x
  3. Step 3: Cross multiply
    4,707.72x = 6,453.45 × 4,664.16
  4. Step 4: Simplify right side
    4,707.72x = 30,099,923.35
  5. Step 5: Solve for x
    x = 30,099,923.35/4,707.72
  6. Step 6: Final answer
    x = 6,393.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.