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Finding the Fourth Proportional to 10,676.88, 14,731.20 and 6,482.16

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Solution

The fourth proportional to 10,676.88, 14,731.20 and 6,482.16 is: 8,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.88 : 14,731.20 = 6,482.16 : x
  2. Step 2: Convert to fraction form
    10,676.88/14,731.20 = 6,482.16/x
  3. Step 3: Cross multiply
    10,676.88x = 14,731.20 × 6,482.16
  4. Step 4: Simplify right side
    10,676.88x = 95,489,995.39
  5. Step 5: Solve for x
    x = 95,489,995.39/10,676.88
  6. Step 6: Final answer
    x = 8,943.62

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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.