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Finding the Fourth Proportional to 10,804.50, 16,213.05 and 4,564.14

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Solution

The fourth proportional to 10,804.50, 16,213.05 and 4,564.14 is: 6,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.50 : 16,213.05 = 4,564.14 : x
  2. Step 2: Convert to fraction form
    10,804.50/16,213.05 = 4,564.14/x
  3. Step 3: Cross multiply
    10,804.50x = 16,213.05 × 4,564.14
  4. Step 4: Simplify right side
    10,804.50x = 73,998,630.03
  5. Step 5: Solve for x
    x = 73,998,630.03/10,804.50
  6. Step 6: Final answer
    x = 6,848.87

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1.5x scale

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.