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Finding the Fourth Proportional to 6,024.56, 9,072.98 and 5,302.04

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Solution

The fourth proportional to 6,024.56, 9,072.98 and 5,302.04 is: 7,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.56 : 9,072.98 = 5,302.04 : x
  2. Step 2: Convert to fraction form
    6,024.56/9,072.98 = 5,302.04/x
  3. Step 3: Cross multiply
    6,024.56x = 9,072.98 × 5,302.04
  4. Step 4: Simplify right side
    6,024.56x = 48,105,302.88
  5. Step 5: Solve for x
    x = 48,105,302.88/6,024.56
  6. Step 6: Final answer
    x = 7,984.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.