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Finding the Fourth Proportional to 30,675.54, 46,013.89 and 9,615.11

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Solution

The fourth proportional to 30,675.54, 46,013.89 and 9,615.11 is: 14,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.54 : 46,013.89 = 9,615.11 : x
  2. Step 2: Convert to fraction form
    30,675.54/46,013.89 = 9,615.11/x
  3. Step 3: Cross multiply
    30,675.54x = 46,013.89 × 9,615.11
  4. Step 4: Simplify right side
    30,675.54x = 442,428,704.87
  5. Step 5: Solve for x
    x = 442,428,704.87/30,675.54
  6. Step 6: Final answer
    x = 14,422.85

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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.