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Finding the Fourth Proportional to 4,695.64, 6,474.94 and 3,957.73

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Solution

The fourth proportional to 4,695.64, 6,474.94 and 3,957.73 is: 5,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.64 : 6,474.94 = 3,957.73 : x
  2. Step 2: Convert to fraction form
    4,695.64/6,474.94 = 3,957.73/x
  3. Step 3: Cross multiply
    4,695.64x = 6,474.94 × 3,957.73
  4. Step 4: Simplify right side
    4,695.64x = 25,626,064.29
  5. Step 5: Solve for x
    x = 25,626,064.29/4,695.64
  6. Step 6: Final answer
    x = 5,457.42

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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.