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Finding the Fourth Proportional to 12,582.31, 17,347.57 and 7,864.87

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Solution

The fourth proportional to 12,582.31, 17,347.57 and 7,864.87 is: 10,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.31 : 17,347.57 = 7,864.87 : x
  2. Step 2: Convert to fraction form
    12,582.31/17,347.57 = 7,864.87/x
  3. Step 3: Cross multiply
    12,582.31x = 17,347.57 × 7,864.87
  4. Step 4: Simplify right side
    12,582.31x = 136,436,382.87
  5. Step 5: Solve for x
    x = 136,436,382.87/12,582.31
  6. Step 6: Final answer
    x = 10,843.51

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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.