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Finding the Fourth Proportional to 6,581.45, 9,076.38 and 5,146

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Solution

The fourth proportional to 6,581.45, 9,076.38 and 5,146 is: 7,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.45 : 9,076.38 = 5,146 : x
  2. Step 2: Convert to fraction form
    6,581.45/9,076.38 = 5,146/x
  3. Step 3: Cross multiply
    6,581.45x = 9,076.38 × 5,146
  4. Step 4: Simplify right side
    6,581.45x = 46,707,051.48
  5. Step 5: Solve for x
    x = 46,707,051.48/6,581.45
  6. Step 6: Final answer
    x = 7,096.77

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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.