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Finding the Fourth Proportional to 12,810.60, 19,181.16 and 6,641.64

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Solution

The fourth proportional to 12,810.60, 19,181.16 and 6,641.64 is: 9,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.60 : 19,181.16 = 6,641.64 : x
  2. Step 2: Convert to fraction form
    12,810.60/19,181.16 = 6,641.64/x
  3. Step 3: Cross multiply
    12,810.60x = 19,181.16 × 6,641.64
  4. Step 4: Simplify right side
    12,810.60x = 127,394,359.50
  5. Step 5: Solve for x
    x = 127,394,359.50/12,810.60
  6. Step 6: Final answer
    x = 9,944.45

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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.