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Finding the Fourth Proportional to 10,449.38, 14,426.98 and 6,476.34

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Solution

The fourth proportional to 10,449.38, 14,426.98 and 6,476.34 is: 8,941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.38 : 14,426.98 = 6,476.34 : x
  2. Step 2: Convert to fraction form
    10,449.38/14,426.98 = 6,476.34/x
  3. Step 3: Cross multiply
    10,449.38x = 14,426.98 × 6,476.34
  4. Step 4: Simplify right side
    10,449.38x = 93,434,027.65
  5. Step 5: Solve for x
    x = 93,434,027.65/10,449.38
  6. Step 6: Final answer
    x = 8,941.59

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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.