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Finding the Fourth Proportional to 4,662.64, 6,998.12 and 4,168.24

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Solution

The fourth proportional to 4,662.64, 6,998.12 and 4,168.24 is: 6,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.64 : 6,998.12 = 4,168.24 : x
  2. Step 2: Convert to fraction form
    4,662.64/6,998.12 = 4,168.24/x
  3. Step 3: Cross multiply
    4,662.64x = 6,998.12 × 4,168.24
  4. Step 4: Simplify right side
    4,662.64x = 29,169,843.71
  5. Step 5: Solve for x
    x = 29,169,843.71/4,662.64
  6. Step 6: Final answer
    x = 6,256.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.