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Finding the Fourth Proportional to 6,883.46, 9,499.78 and 4,364.66

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Solution

The fourth proportional to 6,883.46, 9,499.78 and 4,364.66 is: 6,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.46 : 9,499.78 = 4,364.66 : x
  2. Step 2: Convert to fraction form
    6,883.46/9,499.78 = 4,364.66/x
  3. Step 3: Cross multiply
    6,883.46x = 9,499.78 × 4,364.66
  4. Step 4: Simplify right side
    6,883.46x = 41,463,309.77
  5. Step 5: Solve for x
    x = 41,463,309.77/6,883.46
  6. Step 6: Final answer
    x = 6,023.61

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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.