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Finding the Fourth Proportional to 7,696.34, 10,620.70 and 4,865.24

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Solution

The fourth proportional to 7,696.34, 10,620.70 and 4,865.24 is: 6,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.34 : 10,620.70 = 4,865.24 : x
  2. Step 2: Convert to fraction form
    7,696.34/10,620.70 = 4,865.24/x
  3. Step 3: Cross multiply
    7,696.34x = 10,620.70 × 4,865.24
  4. Step 4: Simplify right side
    7,696.34x = 51,672,254.47
  5. Step 5: Solve for x
    x = 51,672,254.47/7,696.34
  6. Step 6: Final answer
    x = 6,713.87

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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.