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Finding the Fourth Proportional to 4,662.46, 6,434.07 and 2,566.57

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Solution

The fourth proportional to 4,662.46, 6,434.07 and 2,566.57 is: 3,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.46 : 6,434.07 = 2,566.57 : x
  2. Step 2: Convert to fraction form
    4,662.46/6,434.07 = 2,566.57/x
  3. Step 3: Cross multiply
    4,662.46x = 6,434.07 × 2,566.57
  4. Step 4: Simplify right side
    4,662.46x = 16,513,491.04
  5. Step 5: Solve for x
    x = 16,513,491.04/4,662.46
  6. Step 6: Final answer
    x = 3,541.80

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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.