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Finding the Fourth Proportional to 6,467.45, 8,928.48 and 4,354.10

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Solution

The fourth proportional to 6,467.45, 8,928.48 and 4,354.10 is: 6,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.45 : 8,928.48 = 4,354.10 : x
  2. Step 2: Convert to fraction form
    6,467.45/8,928.48 = 4,354.10/x
  3. Step 3: Cross multiply
    6,467.45x = 8,928.48 × 4,354.10
  4. Step 4: Simplify right side
    6,467.45x = 38,875,450.13
  5. Step 5: Solve for x
    x = 38,875,450.13/6,467.45
  6. Step 6: Final answer
    x = 6,010.94

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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.