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Finding the Fourth Proportional to 10,650.80, 14,697.20 and 6,174.80

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Solution

The fourth proportional to 10,650.80, 14,697.20 and 6,174.80 is: 8,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.80 : 14,697.20 = 6,174.80 : x
  2. Step 2: Convert to fraction form
    10,650.80/14,697.20 = 6,174.80/x
  3. Step 3: Cross multiply
    10,650.80x = 14,697.20 × 6,174.80
  4. Step 4: Simplify right side
    10,650.80x = 90,752,166.20
  5. Step 5: Solve for x
    x = 90,752,166.20/10,650.80
  6. Step 6: Final answer
    x = 8,520.69

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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.