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Finding the Fourth Proportional to 7,615.92, 11,424.12 and 2,069.24

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Solution

The fourth proportional to 7,615.92, 11,424.12 and 2,069.24 is: 3,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.92 : 11,424.12 = 2,069.24 : x
  2. Step 2: Convert to fraction form
    7,615.92/11,424.12 = 2,069.24/x
  3. Step 3: Cross multiply
    7,615.92x = 11,424.12 × 2,069.24
  4. Step 4: Simplify right side
    7,615.92x = 23,639,274.63
  5. Step 5: Solve for x
    x = 23,639,274.63/7,615.92
  6. Step 6: Final answer
    x = 3,103.93

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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.