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Finding the Fourth Proportional to 10,852.50, 16,252.20 and 9,800.70

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Solution

The fourth proportional to 10,852.50, 16,252.20 and 9,800.70 is: 14,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.50 : 16,252.20 = 9,800.70 : x
  2. Step 2: Convert to fraction form
    10,852.50/16,252.20 = 9,800.70/x
  3. Step 3: Cross multiply
    10,852.50x = 16,252.20 × 9,800.70
  4. Step 4: Simplify right side
    10,852.50x = 159,282,936.54
  5. Step 5: Solve for x
    x = 159,282,936.54/10,852.50
  6. Step 6: Final answer
    x = 14,677.07

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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.