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Finding the Fourth Proportional to 10,636.02, 14,675.91 and 6,159

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Solution

The fourth proportional to 10,636.02, 14,675.91 and 6,159 is: 8,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.02 : 14,675.91 = 6,159 : x
  2. Step 2: Convert to fraction form
    10,636.02/14,675.91 = 6,159/x
  3. Step 3: Cross multiply
    10,636.02x = 14,675.91 × 6,159
  4. Step 4: Simplify right side
    10,636.02x = 90,388,929.69
  5. Step 5: Solve for x
    x = 90,388,929.69/10,636.02
  6. Step 6: Final answer
    x = 8,498.38

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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.