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Finding the Fourth Proportional to 5,243.01, 7,857.23 and 4,353.63

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Solution

The fourth proportional to 5,243.01, 7,857.23 and 4,353.63 is: 6,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.01 : 7,857.23 = 4,353.63 : x
  2. Step 2: Convert to fraction form
    5,243.01/7,857.23 = 4,353.63/x
  3. Step 3: Cross multiply
    5,243.01x = 7,857.23 × 4,353.63
  4. Step 4: Simplify right side
    5,243.01x = 34,207,450.48
  5. Step 5: Solve for x
    x = 34,207,450.48/5,243.01
  6. Step 6: Final answer
    x = 6,524.39

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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.