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Finding the Fourth Proportional to 12,133.65, 16,744.69 and 6,828.45

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Solution

The fourth proportional to 12,133.65, 16,744.69 and 6,828.45 is: 9,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.65 : 16,744.69 = 6,828.45 : x
  2. Step 2: Convert to fraction form
    12,133.65/16,744.69 = 6,828.45/x
  3. Step 3: Cross multiply
    12,133.65x = 16,744.69 × 6,828.45
  4. Step 4: Simplify right side
    12,133.65x = 114,340,244.29
  5. Step 5: Solve for x
    x = 114,340,244.29/12,133.65
  6. Step 6: Final answer
    x = 9,423.40

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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.