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Finding the Fourth Proportional to 7,825, 10,798.50 and 4,514.92

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Solution

The fourth proportional to 7,825, 10,798.50 and 4,514.92 is: 6,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825 : 10,798.50 = 4,514.92 : x
  2. Step 2: Convert to fraction form
    7,825/10,798.50 = 4,514.92/x
  3. Step 3: Cross multiply
    7,825x = 10,798.50 × 4,514.92
  4. Step 4: Simplify right side
    7,825x = 48,754,363.62
  5. Step 5: Solve for x
    x = 48,754,363.62/7,825
  6. Step 6: Final answer
    x = 6,230.59

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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.