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Finding the Fourth Proportional to 7,696.34, 10,626.63 and 4,716.24

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Solution

The fourth proportional to 7,696.34, 10,626.63 and 4,716.24 is: 6,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.34 : 10,626.63 = 4,716.24 : x
  2. Step 2: Convert to fraction form
    7,696.34/10,626.63 = 4,716.24/x
  3. Step 3: Cross multiply
    7,696.34x = 10,626.63 × 4,716.24
  4. Step 4: Simplify right side
    7,696.34x = 50,117,737.47
  5. Step 5: Solve for x
    x = 50,117,737.47/7,696.34
  6. Step 6: Final answer
    x = 6,511.90

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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.