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Finding the Fourth Proportional to 28,470.80, 42,706.20 and 7,694.24

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Solution

The fourth proportional to 28,470.80, 42,706.20 and 7,694.24 is: 11,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,470.80 : 42,706.20 = 7,694.24 : x
  2. Step 2: Convert to fraction form
    28,470.80/42,706.20 = 7,694.24/x
  3. Step 3: Cross multiply
    28,470.80x = 42,706.20 × 7,694.24
  4. Step 4: Simplify right side
    28,470.80x = 328,591,752.29
  5. Step 5: Solve for x
    x = 328,591,752.29/28,470.80
  6. Step 6: Final answer
    x = 11,541.36

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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.