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Finding the Fourth Proportional to 6,181.44, 9,271.68 and 1,564

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Solution

The fourth proportional to 6,181.44, 9,271.68 and 1,564 is: 2,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.44 : 9,271.68 = 1,564 : x
  2. Step 2: Convert to fraction form
    6,181.44/9,271.68 = 1,564/x
  3. Step 3: Cross multiply
    6,181.44x = 9,271.68 × 1,564
  4. Step 4: Simplify right side
    6,181.44x = 14,500,907.52
  5. Step 5: Solve for x
    x = 14,500,907.52/6,181.44
  6. Step 6: Final answer
    x = 2,345.88

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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.