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Finding the Fourth Proportional to 5,664.64, 8,446.16 and 5,447.92

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Solution

The fourth proportional to 5,664.64, 8,446.16 and 5,447.92 is: 8,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.64 : 8,446.16 = 5,447.92 : x
  2. Step 2: Convert to fraction form
    5,664.64/8,446.16 = 5,447.92/x
  3. Step 3: Cross multiply
    5,664.64x = 8,446.16 × 5,447.92
  4. Step 4: Simplify right side
    5,664.64x = 46,014,003.99
  5. Step 5: Solve for x
    x = 46,014,003.99/5,664.64
  6. Step 6: Final answer
    x = 8,123.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.