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Finding the Fourth Proportional to 9,676.62, 14,519.80 and 7,216.38

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Solution

The fourth proportional to 9,676.62, 14,519.80 and 7,216.38 is: 10,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.62 : 14,519.80 = 7,216.38 : x
  2. Step 2: Convert to fraction form
    9,676.62/14,519.80 = 7,216.38/x
  3. Step 3: Cross multiply
    9,676.62x = 14,519.80 × 7,216.38
  4. Step 4: Simplify right side
    9,676.62x = 104,780,394.32
  5. Step 5: Solve for x
    x = 104,780,394.32/9,676.62
  6. Step 6: Final answer
    x = 10,828.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.