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Finding the Fourth Proportional to 4,695.65, 6,466.93 and 3,629.49

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Solution

The fourth proportional to 4,695.65, 6,466.93 and 3,629.49 is: 4,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.65 : 6,466.93 = 3,629.49 : x
  2. Step 2: Convert to fraction form
    4,695.65/6,466.93 = 3,629.49/x
  3. Step 3: Cross multiply
    4,695.65x = 6,466.93 × 3,629.49
  4. Step 4: Simplify right side
    4,695.65x = 23,471,648.69
  5. Step 5: Solve for x
    x = 23,471,648.69/4,695.65
  6. Step 6: Final answer
    x = 4,998.59

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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.