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Finding the Fourth Proportional to 10,672, 16,008 and 6,576.64

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Solution

The fourth proportional to 10,672, 16,008 and 6,576.64 is: 9,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672 : 16,008 = 6,576.64 : x
  2. Step 2: Convert to fraction form
    10,672/16,008 = 6,576.64/x
  3. Step 3: Cross multiply
    10,672x = 16,008 × 6,576.64
  4. Step 4: Simplify right side
    10,672x = 105,278,853.12
  5. Step 5: Solve for x
    x = 105,278,853.12/10,672
  6. Step 6: Final answer
    x = 9,864.96

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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.