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Finding the Fourth Proportional to 6,602.45, 9,901.84 and 2,653.70

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Solution

The fourth proportional to 6,602.45, 9,901.84 and 2,653.70 is: 3,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.45 : 9,901.84 = 2,653.70 : x
  2. Step 2: Convert to fraction form
    6,602.45/9,901.84 = 2,653.70/x
  3. Step 3: Cross multiply
    6,602.45x = 9,901.84 × 2,653.70
  4. Step 4: Simplify right side
    6,602.45x = 26,276,512.81
  5. Step 5: Solve for x
    x = 26,276,512.81/6,602.45
  6. Step 6: Final answer
    x = 3,979.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.