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Finding the Fourth Proportional to 7,696.86, 11,553.46 and 6,253.44

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Solution

The fourth proportional to 7,696.86, 11,553.46 and 6,253.44 is: 9,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.86 : 11,553.46 = 6,253.44 : x
  2. Step 2: Convert to fraction form
    7,696.86/11,553.46 = 6,253.44/x
  3. Step 3: Cross multiply
    7,696.86x = 11,553.46 × 6,253.44
  4. Step 4: Simplify right side
    7,696.86x = 72,248,868.90
  5. Step 5: Solve for x
    x = 72,248,868.90/7,696.86
  6. Step 6: Final answer
    x = 9,386.80

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1.5x scale

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.