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Finding the Fourth Proportional to 10,706.54, 14,775.74 and 5,927.27

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Solution

The fourth proportional to 10,706.54, 14,775.74 and 5,927.27 is: 8,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.54 : 14,775.74 = 5,927.27 : x
  2. Step 2: Convert to fraction form
    10,706.54/14,775.74 = 5,927.27/x
  3. Step 3: Cross multiply
    10,706.54x = 14,775.74 × 5,927.27
  4. Step 4: Simplify right side
    10,706.54x = 87,579,696.91
  5. Step 5: Solve for x
    x = 87,579,696.91/10,706.54
  6. Step 6: Final answer
    x = 8,180.02

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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.