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Finding the Fourth Proportional to 30,825.34, 46,248.34 and 9,768.78

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Solution

The fourth proportional to 30,825.34, 46,248.34 and 9,768.78 is: 14,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.34 : 46,248.34 = 9,768.78 : x
  2. Step 2: Convert to fraction form
    30,825.34/46,248.34 = 9,768.78/x
  3. Step 3: Cross multiply
    30,825.34x = 46,248.34 × 9,768.78
  4. Step 4: Simplify right side
    30,825.34x = 451,789,858.83
  5. Step 5: Solve for x
    x = 451,789,858.83/30,825.34
  6. Step 6: Final answer
    x = 14,656.44

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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.