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Finding the Fourth Proportional to 10,657.64, 14,708 and 6,180.48

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Solution

The fourth proportional to 10,657.64, 14,708 and 6,180.48 is: 8,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.64 : 14,708 = 6,180.48 : x
  2. Step 2: Convert to fraction form
    10,657.64/14,708 = 6,180.48/x
  3. Step 3: Cross multiply
    10,657.64x = 14,708 × 6,180.48
  4. Step 4: Simplify right side
    10,657.64x = 90,902,499.84
  5. Step 5: Solve for x
    x = 90,902,499.84/10,657.64
  6. Step 6: Final answer
    x = 8,529.33

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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.