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Finding the Fourth Proportional to 14,976.70, 20,674.49 and 9,674.10

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Solution

The fourth proportional to 14,976.70, 20,674.49 and 9,674.10 is: 13,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976.70 : 20,674.49 = 9,674.10 : x
  2. Step 2: Convert to fraction form
    14,976.70/20,674.49 = 9,674.10/x
  3. Step 3: Cross multiply
    14,976.70x = 20,674.49 × 9,674.10
  4. Step 4: Simplify right side
    14,976.70x = 200,007,083.71
  5. Step 5: Solve for x
    x = 200,007,083.71/14,976.70
  6. Step 6: Final answer
    x = 13,354.55

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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.