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Finding the Fourth Proportional to 6,175, 9,263.91 and 1,792.81

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Solution

The fourth proportional to 6,175, 9,263.91 and 1,792.81 is: 2,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175 : 9,263.91 = 1,792.81 : x
  2. Step 2: Convert to fraction form
    6,175/9,263.91 = 1,792.81/x
  3. Step 3: Cross multiply
    6,175x = 9,263.91 × 1,792.81
  4. Step 4: Simplify right side
    6,175x = 16,608,430.49
  5. Step 5: Solve for x
    x = 16,608,430.49/6,175
  6. Step 6: Final answer
    x = 2,689.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.