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Finding the Fourth Proportional to 6,405.64, 9,602.97 and 2,509.15

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Solution

The fourth proportional to 6,405.64, 9,602.97 and 2,509.15 is: 3,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.64 : 9,602.97 = 2,509.15 : x
  2. Step 2: Convert to fraction form
    6,405.64/9,602.97 = 2,509.15/x
  3. Step 3: Cross multiply
    6,405.64x = 9,602.97 × 2,509.15
  4. Step 4: Simplify right side
    6,405.64x = 24,095,292.18
  5. Step 5: Solve for x
    x = 24,095,292.18/6,405.64
  6. Step 6: Final answer
    x = 3,761.57

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Why These Related Problems?

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