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Finding the Fourth Proportional to 13,771.72, 19,003.43 and 7,802.11

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Solution

The fourth proportional to 13,771.72, 19,003.43 and 7,802.11 is: 10,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.72 : 19,003.43 = 7,802.11 : x
  2. Step 2: Convert to fraction form
    13,771.72/19,003.43 = 7,802.11/x
  3. Step 3: Cross multiply
    13,771.72x = 19,003.43 × 7,802.11
  4. Step 4: Simplify right side
    13,771.72x = 148,266,717.21
  5. Step 5: Solve for x
    x = 148,266,717.21/13,771.72
  6. Step 6: Final answer
    x = 10,766.03

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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.