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Finding the Fourth Proportional to 7,394.34, 10,204.24 and 4,037.24

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Solution

The fourth proportional to 7,394.34, 10,204.24 and 4,037.24 is: 5,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.34 : 10,204.24 = 4,037.24 : x
  2. Step 2: Convert to fraction form
    7,394.34/10,204.24 = 4,037.24/x
  3. Step 3: Cross multiply
    7,394.34x = 10,204.24 × 4,037.24
  4. Step 4: Simplify right side
    7,394.34x = 41,196,965.90
  5. Step 5: Solve for x
    x = 41,196,965.90/7,394.34
  6. Step 6: Final answer
    x = 5,571.42

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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.