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Finding the Fourth Proportional to 10,814.38, 14,924.89 and 6,564.46

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Solution

The fourth proportional to 10,814.38, 14,924.89 and 6,564.46 is: 9,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.38 : 14,924.89 = 6,564.46 : x
  2. Step 2: Convert to fraction form
    10,814.38/14,924.89 = 6,564.46/x
  3. Step 3: Cross multiply
    10,814.38x = 14,924.89 × 6,564.46
  4. Step 4: Simplify right side
    10,814.38x = 97,973,845.65
  5. Step 5: Solve for x
    x = 97,973,845.65/10,814.38
  6. Step 6: Final answer
    x = 9,059.59

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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.