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Finding the Fourth Proportional to 30,930.98, 46,400.04 and 9,863.60

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Solution

The fourth proportional to 30,930.98, 46,400.04 and 9,863.60 is: 14,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.98 : 46,400.04 = 9,863.60 : x
  2. Step 2: Convert to fraction form
    30,930.98/46,400.04 = 9,863.60/x
  3. Step 3: Cross multiply
    30,930.98x = 46,400.04 × 9,863.60
  4. Step 4: Simplify right side
    30,930.98x = 457,671,434.54
  5. Step 5: Solve for x
    x = 457,671,434.54/30,930.98
  6. Step 6: Final answer
    x = 14,796.54

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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.