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Finding the Fourth Proportional to 6,858.50, 10,287.60 and 3,160.74

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Solution

The fourth proportional to 6,858.50, 10,287.60 and 3,160.74 is: 4,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.50 : 10,287.60 = 3,160.74 : x
  2. Step 2: Convert to fraction form
    6,858.50/10,287.60 = 3,160.74/x
  3. Step 3: Cross multiply
    6,858.50x = 10,287.60 × 3,160.74
  4. Step 4: Simplify right side
    6,858.50x = 32,516,428.82
  5. Step 5: Solve for x
    x = 32,516,428.82/6,858.50
  6. Step 6: Final answer
    x = 4,741.04

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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.