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Finding the Fourth Proportional to 8,031.70, 12,031.95 and 5,919.49

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Solution

The fourth proportional to 8,031.70, 12,031.95 and 5,919.49 is: 8,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.70 : 12,031.95 = 5,919.49 : x
  2. Step 2: Convert to fraction form
    8,031.70/12,031.95 = 5,919.49/x
  3. Step 3: Cross multiply
    8,031.70x = 12,031.95 × 5,919.49
  4. Step 4: Simplify right side
    8,031.70x = 71,223,007.71
  5. Step 5: Solve for x
    x = 71,223,007.71/8,031.70
  6. Step 6: Final answer
    x = 8,867.74

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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.