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Finding the Fourth Proportional to 4,672.61, 6,448.16 and 2,683.79

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Solution

The fourth proportional to 4,672.61, 6,448.16 and 2,683.79 is: 3,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.61 : 6,448.16 = 2,683.79 : x
  2. Step 2: Convert to fraction form
    4,672.61/6,448.16 = 2,683.79/x
  3. Step 3: Cross multiply
    4,672.61x = 6,448.16 × 2,683.79
  4. Step 4: Simplify right side
    4,672.61x = 17,305,493.91
  5. Step 5: Solve for x
    x = 17,305,493.91/4,672.61
  6. Step 6: Final answer
    x = 3,703.60

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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.