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Finding the Fourth Proportional to 7,873.33, 10,857.69 and 6,077.94

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Solution

The fourth proportional to 7,873.33, 10,857.69 and 6,077.94 is: 8,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.33 : 10,857.69 = 6,077.94 : x
  2. Step 2: Convert to fraction form
    7,873.33/10,857.69 = 6,077.94/x
  3. Step 3: Cross multiply
    7,873.33x = 10,857.69 × 6,077.94
  4. Step 4: Simplify right side
    7,873.33x = 65,992,388.36
  5. Step 5: Solve for x
    x = 65,992,388.36/7,873.33
  6. Step 6: Final answer
    x = 8,381.76

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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.