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Finding the Fourth Proportional to 10,004, 13,805.60 and 5,812.48

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Solution

The fourth proportional to 10,004, 13,805.60 and 5,812.48 is: 8,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004 : 13,805.60 = 5,812.48 : x
  2. Step 2: Convert to fraction form
    10,004/13,805.60 = 5,812.48/x
  3. Step 3: Cross multiply
    10,004x = 13,805.60 × 5,812.48
  4. Step 4: Simplify right side
    10,004x = 80,244,773.89
  5. Step 5: Solve for x
    x = 80,244,773.89/10,004
  6. Step 6: Final answer
    x = 8,021.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.