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Finding the Fourth Proportional to 6,410, 9,615.48 and 2,027.28

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Solution

The fourth proportional to 6,410, 9,615.48 and 2,027.28 is: 3,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 9,615.48 = 2,027.28 : x
  2. Step 2: Convert to fraction form
    6,410/9,615.48 = 2,027.28/x
  3. Step 3: Cross multiply
    6,410x = 9,615.48 × 2,027.28
  4. Step 4: Simplify right side
    6,410x = 19,493,270.29
  5. Step 5: Solve for x
    x = 19,493,270.29/6,410
  6. Step 6: Final answer
    x = 3,041.07

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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.