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Finding the Fourth Proportional to 4,662.04, 6,433.78 and 2,566.22

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Solution

The fourth proportional to 4,662.04, 6,433.78 and 2,566.22 is: 3,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.04 : 6,433.78 = 2,566.22 : x
  2. Step 2: Convert to fraction form
    4,662.04/6,433.78 = 2,566.22/x
  3. Step 3: Cross multiply
    4,662.04x = 6,433.78 × 2,566.22
  4. Step 4: Simplify right side
    4,662.04x = 16,510,494.91
  5. Step 5: Solve for x
    x = 16,510,494.91/4,662.04
  6. Step 6: Final answer
    x = 3,541.47

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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.