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Finding the Fourth Proportional to 6,002.16, 9,000.19 and 3,504.19

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Solution

The fourth proportional to 6,002.16, 9,000.19 and 3,504.19 is: 5,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.16 : 9,000.19 = 3,504.19 : x
  2. Step 2: Convert to fraction form
    6,002.16/9,000.19 = 3,504.19/x
  3. Step 3: Cross multiply
    6,002.16x = 9,000.19 × 3,504.19
  4. Step 4: Simplify right side
    6,002.16x = 31,538,375.80
  5. Step 5: Solve for x
    x = 31,538,375.80/6,002.16
  6. Step 6: Final answer
    x = 5,254.50

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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.