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Finding the Fourth Proportional to 6,580.96, 9,074.76 and 5,162

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Solution

The fourth proportional to 6,580.96, 9,074.76 and 5,162 is: 7,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.96 : 9,074.76 = 5,162 : x
  2. Step 2: Convert to fraction form
    6,580.96/9,074.76 = 5,162/x
  3. Step 3: Cross multiply
    6,580.96x = 9,074.76 × 5,162
  4. Step 4: Simplify right side
    6,580.96x = 46,843,911.12
  5. Step 5: Solve for x
    x = 46,843,911.12/6,580.96
  6. Step 6: Final answer
    x = 7,118.10

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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.