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Finding the Fourth Proportional to 8,297.63, 12,446.48 and 2,374.51

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Solution

The fourth proportional to 8,297.63, 12,446.48 and 2,374.51 is: 3,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.63 : 12,446.48 = 2,374.51 : x
  2. Step 2: Convert to fraction form
    8,297.63/12,446.48 = 2,374.51/x
  3. Step 3: Cross multiply
    8,297.63x = 12,446.48 × 2,374.51
  4. Step 4: Simplify right side
    8,297.63x = 29,554,248.24
  5. Step 5: Solve for x
    x = 29,554,248.24/8,297.63
  6. Step 6: Final answer
    x = 3,561.77

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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.