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Finding the Fourth Proportional to 7,351.34, 10,142.94 and 4,367

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Solution

The fourth proportional to 7,351.34, 10,142.94 and 4,367 is: 6,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.34 : 10,142.94 = 4,367 : x
  2. Step 2: Convert to fraction form
    7,351.34/10,142.94 = 4,367/x
  3. Step 3: Cross multiply
    7,351.34x = 10,142.94 × 4,367
  4. Step 4: Simplify right side
    7,351.34x = 44,294,218.98
  5. Step 5: Solve for x
    x = 44,294,218.98/7,351.34
  6. Step 6: Final answer
    x = 6,025.33

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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.