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Finding the Fourth Proportional to 10,632.96, 14,672.86 and 6,156.39

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Solution

The fourth proportional to 10,632.96, 14,672.86 and 6,156.39 is: 8,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.96 : 14,672.86 = 6,156.39 : x
  2. Step 2: Convert to fraction form
    10,632.96/14,672.86 = 6,156.39/x
  3. Step 3: Cross multiply
    10,632.96x = 14,672.86 × 6,156.39
  4. Step 4: Simplify right side
    10,632.96x = 90,331,848.58
  5. Step 5: Solve for x
    x = 90,331,848.58/10,632.96
  6. Step 6: Final answer
    x = 8,495.46

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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.