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Finding the Fourth Proportional to 4,662.64, 6,433.92 and 2,566.24

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Solution

The fourth proportional to 4,662.64, 6,433.92 and 2,566.24 is: 3,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.64 : 6,433.92 = 2,566.24 : x
  2. Step 2: Convert to fraction form
    4,662.64/6,433.92 = 2,566.24/x
  3. Step 3: Cross multiply
    4,662.64x = 6,433.92 × 2,566.24
  4. Step 4: Simplify right side
    4,662.64x = 16,510,982.86
  5. Step 5: Solve for x
    x = 16,510,982.86/4,662.64
  6. Step 6: Final answer
    x = 3,541.12

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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.