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Finding the Fourth Proportional to 28,461.68, 42,694.80 and 7,684.88

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Solution

The fourth proportional to 28,461.68, 42,694.80 and 7,684.88 is: 11,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461.68 : 42,694.80 = 7,684.88 : x
  2. Step 2: Convert to fraction form
    28,461.68/42,694.80 = 7,684.88/x
  3. Step 3: Cross multiply
    28,461.68x = 42,694.80 × 7,684.88
  4. Step 4: Simplify right side
    28,461.68x = 328,104,414.62
  5. Step 5: Solve for x
    x = 328,104,414.62/28,461.68
  6. Step 6: Final answer
    x = 11,527.94

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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.