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Finding the Fourth Proportional to 10,696.65, 16,048.62 and 5,766.77

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Solution

The fourth proportional to 10,696.65, 16,048.62 and 5,766.77 is: 8,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.65 : 16,048.62 = 5,766.77 : x
  2. Step 2: Convert to fraction form
    10,696.65/16,048.62 = 5,766.77/x
  3. Step 3: Cross multiply
    10,696.65x = 16,048.62 × 5,766.77
  4. Step 4: Simplify right side
    10,696.65x = 92,548,620.11
  5. Step 5: Solve for x
    x = 92,548,620.11/10,696.65
  6. Step 6: Final answer
    x = 8,652.11

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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.