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Finding the Fourth Proportional to 12,133.28, 16,743.93 and 6,828.14

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Solution

The fourth proportional to 12,133.28, 16,743.93 and 6,828.14 is: 9,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.28 : 16,743.93 = 6,828.14 : x
  2. Step 2: Convert to fraction form
    12,133.28/16,743.93 = 6,828.14/x
  3. Step 3: Cross multiply
    12,133.28x = 16,743.93 × 6,828.14
  4. Step 4: Simplify right side
    12,133.28x = 114,329,898.19
  5. Step 5: Solve for x
    x = 114,329,898.19/12,133.28
  6. Step 6: Final answer
    x = 9,422.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.