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Finding the Fourth Proportional to 4,662.64, 6,434.51 and 2,774.32

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Solution

The fourth proportional to 4,662.64, 6,434.51 and 2,774.32 is: 3,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.64 : 6,434.51 = 2,774.32 : x
  2. Step 2: Convert to fraction form
    4,662.64/6,434.51 = 2,774.32/x
  3. Step 3: Cross multiply
    4,662.64x = 6,434.51 × 2,774.32
  4. Step 4: Simplify right side
    4,662.64x = 17,851,359.83
  5. Step 5: Solve for x
    x = 17,851,359.83/4,662.64
  6. Step 6: Final answer
    x = 3,828.59

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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.