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Finding the Fourth Proportional to 6,453.92, 8,903.74 and 4,214.98

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Solution

The fourth proportional to 6,453.92, 8,903.74 and 4,214.98 is: 5,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.92 : 8,903.74 = 4,214.98 : x
  2. Step 2: Convert to fraction form
    6,453.92/8,903.74 = 4,214.98/x
  3. Step 3: Cross multiply
    6,453.92x = 8,903.74 × 4,214.98
  4. Step 4: Simplify right side
    6,453.92x = 37,529,086.03
  5. Step 5: Solve for x
    x = 37,529,086.03/6,453.92
  6. Step 6: Final answer
    x = 5,814.93

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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.