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Finding the Fourth Proportional to 10,792.64, 14,894.52 and 6,546.68

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Solution

The fourth proportional to 10,792.64, 14,894.52 and 6,546.68 is: 9,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.64 : 14,894.52 = 6,546.68 : x
  2. Step 2: Convert to fraction form
    10,792.64/14,894.52 = 6,546.68/x
  3. Step 3: Cross multiply
    10,792.64x = 14,894.52 × 6,546.68
  4. Step 4: Simplify right side
    10,792.64x = 97,509,656.19
  5. Step 5: Solve for x
    x = 97,509,656.19/10,792.64
  6. Step 6: Final answer
    x = 9,034.83

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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.