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Finding the Fourth Proportional to 4,156.35, 6,235.71 and 1,234.71

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Solution

The fourth proportional to 4,156.35, 6,235.71 and 1,234.71 is: 1,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.35 : 6,235.71 = 1,234.71 : x
  2. Step 2: Convert to fraction form
    4,156.35/6,235.71 = 1,234.71/x
  3. Step 3: Cross multiply
    4,156.35x = 6,235.71 × 1,234.71
  4. Step 4: Simplify right side
    4,156.35x = 7,699,293.49
  5. Step 5: Solve for x
    x = 7,699,293.49/4,156.35
  6. Step 6: Final answer
    x = 1,852.42

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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.