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Finding the Fourth Proportional to 30,884.62, 46,326.56 and 7,511.08

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Solution

The fourth proportional to 30,884.62, 46,326.56 and 7,511.08 is: 11,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.62 : 46,326.56 = 7,511.08 : x
  2. Step 2: Convert to fraction form
    30,884.62/46,326.56 = 7,511.08/x
  3. Step 3: Cross multiply
    30,884.62x = 46,326.56 × 7,511.08
  4. Step 4: Simplify right side
    30,884.62x = 347,962,460.73
  5. Step 5: Solve for x
    x = 347,962,460.73/30,884.62
  6. Step 6: Final answer
    x = 11,266.53

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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.