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Finding the Fourth Proportional to 30,829.51, 46,244.12 and 7,455.95

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Solution

The fourth proportional to 30,829.51, 46,244.12 and 7,455.95 is: 11,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.51 : 46,244.12 = 7,455.95 : x
  2. Step 2: Convert to fraction form
    30,829.51/46,244.12 = 7,455.95/x
  3. Step 3: Cross multiply
    30,829.51x = 46,244.12 × 7,455.95
  4. Step 4: Simplify right side
    30,829.51x = 344,793,751.43
  5. Step 5: Solve for x
    x = 344,793,751.43/30,829.51
  6. Step 6: Final answer
    x = 11,183.89

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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.