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Finding the Fourth Proportional to 12,582, 17,364.24 and 6,994.08

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Solution

The fourth proportional to 12,582, 17,364.24 and 6,994.08 is: 9,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 17,364.24 = 6,994.08 : x
  2. Step 2: Convert to fraction form
    12,582/17,364.24 = 6,994.08/x
  3. Step 3: Cross multiply
    12,582x = 17,364.24 × 6,994.08
  4. Step 4: Simplify right side
    12,582x = 121,446,883.70
  5. Step 5: Solve for x
    x = 121,446,883.70/12,582
  6. Step 6: Final answer
    x = 9,652.43

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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.