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Finding the Fourth Proportional to 10,005.50, 15,009 and 2,984.96

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Solution

The fourth proportional to 10,005.50, 15,009 and 2,984.96 is: 4,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.50 : 15,009 = 2,984.96 : x
  2. Step 2: Convert to fraction form
    10,005.50/15,009 = 2,984.96/x
  3. Step 3: Cross multiply
    10,005.50x = 15,009 × 2,984.96
  4. Step 4: Simplify right side
    10,005.50x = 44,801,189.60
  5. Step 5: Solve for x
    x = 44,801,189.60/10,005.50
  6. Step 6: Final answer
    x = 4,477.66

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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.