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Finding the Fourth Proportional to 6,559.36, 9,830.52 and 2,659.20

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Solution

The fourth proportional to 6,559.36, 9,830.52 and 2,659.20 is: 3,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.36 : 9,830.52 = 2,659.20 : x
  2. Step 2: Convert to fraction form
    6,559.36/9,830.52 = 2,659.20/x
  3. Step 3: Cross multiply
    6,559.36x = 9,830.52 × 2,659.20
  4. Step 4: Simplify right side
    6,559.36x = 26,141,318.78
  5. Step 5: Solve for x
    x = 26,141,318.78/6,559.36
  6. Step 6: Final answer
    x = 3,985.35

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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.