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Finding the Fourth Proportional to 8,696.40, 13,046.76 and 4,074

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Solution

The fourth proportional to 8,696.40, 13,046.76 and 4,074 is: 6,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.40 : 13,046.76 = 4,074 : x
  2. Step 2: Convert to fraction form
    8,696.40/13,046.76 = 4,074/x
  3. Step 3: Cross multiply
    8,696.40x = 13,046.76 × 4,074
  4. Step 4: Simplify right side
    8,696.40x = 53,152,500.24
  5. Step 5: Solve for x
    x = 53,152,500.24/8,696.40
  6. Step 6: Final answer
    x = 6,112.01

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Why These Related Problems?

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