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Finding the Fourth Proportional to 6,559.64, 9,832 and 2,607.24

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Solution

The fourth proportional to 6,559.64, 9,832 and 2,607.24 is: 3,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.64 : 9,832 = 2,607.24 : x
  2. Step 2: Convert to fraction form
    6,559.64/9,832 = 2,607.24/x
  3. Step 3: Cross multiply
    6,559.64x = 9,832 × 2,607.24
  4. Step 4: Simplify right side
    6,559.64x = 25,634,383.68
  5. Step 5: Solve for x
    x = 25,634,383.68/6,559.64
  6. Step 6: Final answer
    x = 3,907.89

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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.