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Finding the Fourth Proportional to 12,133.90, 16,744.07 and 6,828.50

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Solution

The fourth proportional to 12,133.90, 16,744.07 and 6,828.50 is: 9,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.90 : 16,744.07 = 6,828.50 : x
  2. Step 2: Convert to fraction form
    12,133.90/16,744.07 = 6,828.50/x
  3. Step 3: Cross multiply
    12,133.90x = 16,744.07 × 6,828.50
  4. Step 4: Simplify right side
    12,133.90x = 114,336,882.00
  5. Step 5: Solve for x
    x = 114,336,882.00/12,133.90
  6. Step 6: Final answer
    x = 9,422.93

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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.