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Finding the Fourth Proportional to 10,602, 14,630.76 and 6,186

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Solution

The fourth proportional to 10,602, 14,630.76 and 6,186 is: 8,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602 : 14,630.76 = 6,186 : x
  2. Step 2: Convert to fraction form
    10,602/14,630.76 = 6,186/x
  3. Step 3: Cross multiply
    10,602x = 14,630.76 × 6,186
  4. Step 4: Simplify right side
    10,602x = 90,505,881.36
  5. Step 5: Solve for x
    x = 90,505,881.36/10,602
  6. Step 6: Final answer
    x = 8,536.68

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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.