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Finding the Fourth Proportional to 10,354.70, 15,532.05 and 4,198.70

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Solution

The fourth proportional to 10,354.70, 15,532.05 and 4,198.70 is: 6,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.70 : 15,532.05 = 4,198.70 : x
  2. Step 2: Convert to fraction form
    10,354.70/15,532.05 = 4,198.70/x
  3. Step 3: Cross multiply
    10,354.70x = 15,532.05 × 4,198.70
  4. Step 4: Simplify right side
    10,354.70x = 65,214,418.34
  5. Step 5: Solve for x
    x = 65,214,418.34/10,354.70
  6. Step 6: Final answer
    x = 6,298.05

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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.