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Finding the Fourth Proportional to 7,609.16, 10,494 and 5,844.44

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Solution

The fourth proportional to 7,609.16, 10,494 and 5,844.44 is: 8,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.16 : 10,494 = 5,844.44 : x
  2. Step 2: Convert to fraction form
    7,609.16/10,494 = 5,844.44/x
  3. Step 3: Cross multiply
    7,609.16x = 10,494 × 5,844.44
  4. Step 4: Simplify right side
    7,609.16x = 61,331,553.36
  5. Step 5: Solve for x
    x = 61,331,553.36/7,609.16
  6. Step 6: Final answer
    x = 8,060.23

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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.