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Finding the Fourth Proportional to 11,574.31, 15,972.62 and 6,269.12

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Solution

The fourth proportional to 11,574.31, 15,972.62 and 6,269.12 is: 8,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.31 : 15,972.62 = 6,269.12 : x
  2. Step 2: Convert to fraction form
    11,574.31/15,972.62 = 6,269.12/x
  3. Step 3: Cross multiply
    11,574.31x = 15,972.62 × 6,269.12
  4. Step 4: Simplify right side
    11,574.31x = 100,134,282.74
  5. Step 5: Solve for x
    x = 100,134,282.74/11,574.31
  6. Step 6: Final answer
    x = 8,651.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.