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Finding the Fourth Proportional to 6,000.48, 9,002.15 and 2,302.63

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Solution

The fourth proportional to 6,000.48, 9,002.15 and 2,302.63 is: 3,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.48 : 9,002.15 = 2,302.63 : x
  2. Step 2: Convert to fraction form
    6,000.48/9,002.15 = 2,302.63/x
  3. Step 3: Cross multiply
    6,000.48x = 9,002.15 × 2,302.63
  4. Step 4: Simplify right side
    6,000.48x = 20,728,620.65
  5. Step 5: Solve for x
    x = 20,728,620.65/6,000.48
  6. Step 6: Final answer
    x = 3,454.49

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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.