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Finding the Fourth Proportional to 23,792.51, 35,686 and 6,263.71

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Solution

The fourth proportional to 23,792.51, 35,686 and 6,263.71 is: 9,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.51 : 35,686 = 6,263.71 : x
  2. Step 2: Convert to fraction form
    23,792.51/35,686 = 6,263.71/x
  3. Step 3: Cross multiply
    23,792.51x = 35,686 × 6,263.71
  4. Step 4: Simplify right side
    23,792.51x = 223,526,576.63
  5. Step 5: Solve for x
    x = 223,526,576.63/23,792.51
  6. Step 6: Final answer
    x = 9,394.83

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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.