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Finding the Fourth Proportional to 4,446.86, 6,664.32 and 3,460.86

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Solution

The fourth proportional to 4,446.86, 6,664.32 and 3,460.86 is: 5,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.86 : 6,664.32 = 3,460.86 : x
  2. Step 2: Convert to fraction form
    4,446.86/6,664.32 = 3,460.86/x
  3. Step 3: Cross multiply
    4,446.86x = 6,664.32 × 3,460.86
  4. Step 4: Simplify right side
    4,446.86x = 23,064,278.52
  5. Step 5: Solve for x
    x = 23,064,278.52/4,446.86
  6. Step 6: Final answer
    x = 5,186.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.