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Finding the Fourth Proportional to 8,510.65, 11,735.19 and 5,822.31

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Solution

The fourth proportional to 8,510.65, 11,735.19 and 5,822.31 is: 8,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.65 : 11,735.19 = 5,822.31 : x
  2. Step 2: Convert to fraction form
    8,510.65/11,735.19 = 5,822.31/x
  3. Step 3: Cross multiply
    8,510.65x = 11,735.19 × 5,822.31
  4. Step 4: Simplify right side
    8,510.65x = 68,325,914.09
  5. Step 5: Solve for x
    x = 68,325,914.09/8,510.65
  6. Step 6: Final answer
    x = 8,028.28

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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.