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Finding the Fourth Proportional to 4,662.84, 6,434.51 and 2,538.38

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Solution

The fourth proportional to 4,662.84, 6,434.51 and 2,538.38 is: 3,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.84 : 6,434.51 = 2,538.38 : x
  2. Step 2: Convert to fraction form
    4,662.84/6,434.51 = 2,538.38/x
  3. Step 3: Cross multiply
    4,662.84x = 6,434.51 × 2,538.38
  4. Step 4: Simplify right side
    4,662.84x = 16,333,231.49
  5. Step 5: Solve for x
    x = 16,333,231.49/4,662.84
  6. Step 6: Final answer
    x = 3,502.85

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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.