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Finding the Fourth Proportional to 6,322, 9,466.80 and 4,676.08

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Solution

The fourth proportional to 6,322, 9,466.80 and 4,676.08 is: 7,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322 : 9,466.80 = 4,676.08 : x
  2. Step 2: Convert to fraction form
    6,322/9,466.80 = 4,676.08/x
  3. Step 3: Cross multiply
    6,322x = 9,466.80 × 4,676.08
  4. Step 4: Simplify right side
    6,322x = 44,267,514.14
  5. Step 5: Solve for x
    x = 44,267,514.14/6,322
  6. Step 6: Final answer
    x = 7,002.14

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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.