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Finding the Fourth Proportional to 8,353.48, 12,530.22 and 2,197

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Solution

The fourth proportional to 8,353.48, 12,530.22 and 2,197 is: 3,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.48 : 12,530.22 = 2,197 : x
  2. Step 2: Convert to fraction form
    8,353.48/12,530.22 = 2,197/x
  3. Step 3: Cross multiply
    8,353.48x = 12,530.22 × 2,197
  4. Step 4: Simplify right side
    8,353.48x = 27,528,893.34
  5. Step 5: Solve for x
    x = 27,528,893.34/8,353.48
  6. Step 6: Final answer
    x = 3,295.50

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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.