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Finding the Fourth Proportional to 13,957.97, 20,929.59 and 8,033.63

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Solution

The fourth proportional to 13,957.97, 20,929.59 and 8,033.63 is: 12,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.97 : 20,929.59 = 8,033.63 : x
  2. Step 2: Convert to fraction form
    13,957.97/20,929.59 = 8,033.63/x
  3. Step 3: Cross multiply
    13,957.97x = 20,929.59 × 8,033.63
  4. Step 4: Simplify right side
    13,957.97x = 168,140,477.46
  5. Step 5: Solve for x
    x = 168,140,477.46/13,957.97
  6. Step 6: Final answer
    x = 12,046.20

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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.