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Finding the Fourth Proportional to 6,508.56, 9,765.40 and 2,858

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Solution

The fourth proportional to 6,508.56, 9,765.40 and 2,858 is: 4,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.56 : 9,765.40 = 2,858 : x
  2. Step 2: Convert to fraction form
    6,508.56/9,765.40 = 2,858/x
  3. Step 3: Cross multiply
    6,508.56x = 9,765.40 × 2,858
  4. Step 4: Simplify right side
    6,508.56x = 27,909,513.20
  5. Step 5: Solve for x
    x = 27,909,513.20/6,508.56
  6. Step 6: Final answer
    x = 4,288.12

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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.