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Finding the Fourth Proportional to 12,467.92, 18,699.66 and 4,570

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Solution

The fourth proportional to 12,467.92, 18,699.66 and 4,570 is: 6,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.92 : 18,699.66 = 4,570 : x
  2. Step 2: Convert to fraction form
    12,467.92/18,699.66 = 4,570/x
  3. Step 3: Cross multiply
    12,467.92x = 18,699.66 × 4,570
  4. Step 4: Simplify right side
    12,467.92x = 85,457,446.20
  5. Step 5: Solve for x
    x = 85,457,446.20/12,467.92
  6. Step 6: Final answer
    x = 6,854.19

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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.