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Finding the Fourth Proportional to 8,053.71, 11,114.76 and 4,696.30

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Solution

The fourth proportional to 8,053.71, 11,114.76 and 4,696.30 is: 6,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.71 : 11,114.76 = 4,696.30 : x
  2. Step 2: Convert to fraction form
    8,053.71/11,114.76 = 4,696.30/x
  3. Step 3: Cross multiply
    8,053.71x = 11,114.76 × 4,696.30
  4. Step 4: Simplify right side
    8,053.71x = 52,198,247.39
  5. Step 5: Solve for x
    x = 52,198,247.39/8,053.71
  6. Step 6: Final answer
    x = 6,481.27

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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.