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Finding the Fourth Proportional to 8,374.64, 11,637.14 and 8,283.51

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Solution

The fourth proportional to 8,374.64, 11,637.14 and 8,283.51 is: 11,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.64 : 11,637.14 = 8,283.51 : x
  2. Step 2: Convert to fraction form
    8,374.64/11,637.14 = 8,283.51/x
  3. Step 3: Cross multiply
    8,374.64x = 11,637.14 × 8,283.51
  4. Step 4: Simplify right side
    8,374.64x = 96,396,324.14
  5. Step 5: Solve for x
    x = 96,396,324.14/8,374.64
  6. Step 6: Final answer
    x = 11,510.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.