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Finding the Fourth Proportional to 4,676.41, 6,462.00 and 4,448.62

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Solution

The fourth proportional to 4,676.41, 6,462.00 and 4,448.62 is: 6,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.41 : 6,462.00 = 4,448.62 : x
  2. Step 2: Convert to fraction form
    4,676.41/6,462.00 = 4,448.62/x
  3. Step 3: Cross multiply
    4,676.41x = 6,462.00 × 4,448.62
  4. Step 4: Simplify right side
    4,676.41x = 28,746,927.89
  5. Step 5: Solve for x
    x = 28,746,927.89/4,676.41
  6. Step 6: Final answer
    x = 6,147.23

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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.