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Finding the Fourth Proportional to 10,656, 14,707.38 and 6,180.72

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Solution

The fourth proportional to 10,656, 14,707.38 and 6,180.72 is: 8,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656 : 14,707.38 = 6,180.72 : x
  2. Step 2: Convert to fraction form
    10,656/14,707.38 = 6,180.72/x
  3. Step 3: Cross multiply
    10,656x = 14,707.38 × 6,180.72
  4. Step 4: Simplify right side
    10,656x = 90,902,197.71
  5. Step 5: Solve for x
    x = 90,902,197.71/10,656
  6. Step 6: Final answer
    x = 8,530.61

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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.