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Finding the Fourth Proportional to 4,700.44, 6,484.10 and 3,814.68

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Solution

The fourth proportional to 4,700.44, 6,484.10 and 3,814.68 is: 5,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.44 : 6,484.10 = 3,814.68 : x
  2. Step 2: Convert to fraction form
    4,700.44/6,484.10 = 3,814.68/x
  3. Step 3: Cross multiply
    4,700.44x = 6,484.10 × 3,814.68
  4. Step 4: Simplify right side
    4,700.44x = 24,734,766.59
  5. Step 5: Solve for x
    x = 24,734,766.59/4,700.44
  6. Step 6: Final answer
    x = 5,262.22

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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.