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Finding the Fourth Proportional to 7,643.52, 11,463.84 and 2,097

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Solution

The fourth proportional to 7,643.52, 11,463.84 and 2,097 is: 3,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.52 : 11,463.84 = 2,097 : x
  2. Step 2: Convert to fraction form
    7,643.52/11,463.84 = 2,097/x
  3. Step 3: Cross multiply
    7,643.52x = 11,463.84 × 2,097
  4. Step 4: Simplify right side
    7,643.52x = 24,039,672.48
  5. Step 5: Solve for x
    x = 24,039,672.48/7,643.52
  6. Step 6: Final answer
    x = 3,145.10

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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.