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Finding the Fourth Proportional to 10,438.29, 14,409.77 and 6,462

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Solution

The fourth proportional to 10,438.29, 14,409.77 and 6,462 is: 8,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.29 : 14,409.77 = 6,462 : x
  2. Step 2: Convert to fraction form
    10,438.29/14,409.77 = 6,462/x
  3. Step 3: Cross multiply
    10,438.29x = 14,409.77 × 6,462
  4. Step 4: Simplify right side
    10,438.29x = 93,115,901.43
  5. Step 5: Solve for x
    x = 93,115,901.43/10,438.29
  6. Step 6: Final answer
    x = 8,920.61

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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.