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Finding the Fourth Proportional to 9,798.29, 13,520.14 and 5,819.30

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Solution

The fourth proportional to 9,798.29, 13,520.14 and 5,819.30 is: 8,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.29 : 13,520.14 = 5,819.30 : x
  2. Step 2: Convert to fraction form
    9,798.29/13,520.14 = 5,819.30/x
  3. Step 3: Cross multiply
    9,798.29x = 13,520.14 × 5,819.30
  4. Step 4: Simplify right side
    9,798.29x = 78,677,750.70
  5. Step 5: Solve for x
    x = 78,677,750.70/9,798.29
  6. Step 6: Final answer
    x = 8,029.74

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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.