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Finding the Fourth Proportional to 4,661.74, 6,433.02 and 2,670.88

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Solution

The fourth proportional to 4,661.74, 6,433.02 and 2,670.88 is: 3,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.74 : 6,433.02 = 2,670.88 : x
  2. Step 2: Convert to fraction form
    4,661.74/6,433.02 = 2,670.88/x
  3. Step 3: Cross multiply
    4,661.74x = 6,433.02 × 2,670.88
  4. Step 4: Simplify right side
    4,661.74x = 17,181,824.46
  5. Step 5: Solve for x
    x = 17,181,824.46/4,661.74
  6. Step 6: Final answer
    x = 3,685.71

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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.