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Finding the Fourth Proportional to 6,478.60, 9,715.46 and 2,094.88

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Solution

The fourth proportional to 6,478.60, 9,715.46 and 2,094.88 is: 3,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.60 : 9,715.46 = 2,094.88 : x
  2. Step 2: Convert to fraction form
    6,478.60/9,715.46 = 2,094.88/x
  3. Step 3: Cross multiply
    6,478.60x = 9,715.46 × 2,094.88
  4. Step 4: Simplify right side
    6,478.60x = 20,352,722.84
  5. Step 5: Solve for x
    x = 20,352,722.84/6,478.60
  6. Step 6: Final answer
    x = 3,141.53

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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.