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Finding the Fourth Proportional to 13,771.63, 19,004.07 and 7,483.96

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Solution

The fourth proportional to 13,771.63, 19,004.07 and 7,483.96 is: 10,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.63 : 19,004.07 = 7,483.96 : x
  2. Step 2: Convert to fraction form
    13,771.63/19,004.07 = 7,483.96/x
  3. Step 3: Cross multiply
    13,771.63x = 19,004.07 × 7,483.96
  4. Step 4: Simplify right side
    13,771.63x = 142,225,699.72
  5. Step 5: Solve for x
    x = 142,225,699.72/13,771.63
  6. Step 6: Final answer
    x = 10,327.44

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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.