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Finding the Fourth Proportional to 7,609.80, 10,502.28 and 4,465.92

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Solution

The fourth proportional to 7,609.80, 10,502.28 and 4,465.92 is: 6,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.80 : 10,502.28 = 4,465.92 : x
  2. Step 2: Convert to fraction form
    7,609.80/10,502.28 = 4,465.92/x
  3. Step 3: Cross multiply
    7,609.80x = 10,502.28 × 4,465.92
  4. Step 4: Simplify right side
    7,609.80x = 46,902,342.30
  5. Step 5: Solve for x
    x = 46,902,342.30/7,609.80
  6. Step 6: Final answer
    x = 6,163.41

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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.