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Finding the Fourth Proportional to 10,674.88, 14,731.20 and 5,959.20

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Solution

The fourth proportional to 10,674.88, 14,731.20 and 5,959.20 is: 8,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.88 : 14,731.20 = 5,959.20 : x
  2. Step 2: Convert to fraction form
    10,674.88/14,731.20 = 5,959.20/x
  3. Step 3: Cross multiply
    10,674.88x = 14,731.20 × 5,959.20
  4. Step 4: Simplify right side
    10,674.88x = 87,786,167.04
  5. Step 5: Solve for x
    x = 87,786,167.04/10,674.88
  6. Step 6: Final answer
    x = 8,223.62

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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.