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Finding the Fourth Proportional to 19,311.29, 28,967.48 and 6,829.55

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Solution

The fourth proportional to 19,311.29, 28,967.48 and 6,829.55 is: 10,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311.29 : 28,967.48 = 6,829.55 : x
  2. Step 2: Convert to fraction form
    19,311.29/28,967.48 = 6,829.55/x
  3. Step 3: Cross multiply
    19,311.29x = 28,967.48 × 6,829.55
  4. Step 4: Simplify right side
    19,311.29x = 197,834,853.03
  5. Step 5: Solve for x
    x = 197,834,853.03/19,311.29
  6. Step 6: Final answer
    x = 10,244.52

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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.