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Finding the Fourth Proportional to 10,722.54, 14,792.16 and 6,946.97

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Solution

The fourth proportional to 10,722.54, 14,792.16 and 6,946.97 is: 9,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.54 : 14,792.16 = 6,946.97 : x
  2. Step 2: Convert to fraction form
    10,722.54/14,792.16 = 6,946.97/x
  3. Step 3: Cross multiply
    10,722.54x = 14,792.16 × 6,946.97
  4. Step 4: Simplify right side
    10,722.54x = 102,760,691.76
  5. Step 5: Solve for x
    x = 102,760,691.76/10,722.54
  6. Step 6: Final answer
    x = 9,583.61

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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.