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Finding the Fourth Proportional to 8,031.76, 12,048.90 and 2,836.42

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Solution

The fourth proportional to 8,031.76, 12,048.90 and 2,836.42 is: 4,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.76 : 12,048.90 = 2,836.42 : x
  2. Step 2: Convert to fraction form
    8,031.76/12,048.90 = 2,836.42/x
  3. Step 3: Cross multiply
    8,031.76x = 12,048.90 × 2,836.42
  4. Step 4: Simplify right side
    8,031.76x = 34,175,740.94
  5. Step 5: Solve for x
    x = 34,175,740.94/8,031.76
  6. Step 6: Final answer
    x = 4,255.07

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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.