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Finding the Fourth Proportional to 6,575.59, 9,864.06 and 2,193.31

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Solution

The fourth proportional to 6,575.59, 9,864.06 and 2,193.31 is: 3,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.59 : 9,864.06 = 2,193.31 : x
  2. Step 2: Convert to fraction form
    6,575.59/9,864.06 = 2,193.31/x
  3. Step 3: Cross multiply
    6,575.59x = 9,864.06 × 2,193.31
  4. Step 4: Simplify right side
    6,575.59x = 21,634,941.44
  5. Step 5: Solve for x
    x = 21,634,941.44/6,575.59
  6. Step 6: Final answer
    x = 3,290.19

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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.