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Finding the Fourth Proportional to 6,353.42, 9,532.74 and 2,656.43

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Solution

The fourth proportional to 6,353.42, 9,532.74 and 2,656.43 is: 3,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.42 : 9,532.74 = 2,656.43 : x
  2. Step 2: Convert to fraction form
    6,353.42/9,532.74 = 2,656.43/x
  3. Step 3: Cross multiply
    6,353.42x = 9,532.74 × 2,656.43
  4. Step 4: Simplify right side
    6,353.42x = 25,323,056.52
  5. Step 5: Solve for x
    x = 25,323,056.52/6,353.42
  6. Step 6: Final answer
    x = 3,985.74

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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.