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Finding the Fourth Proportional to 13,753.90, 18,980.26 and 7,466.26

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Solution

The fourth proportional to 13,753.90, 18,980.26 and 7,466.26 is: 10,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.90 : 18,980.26 = 7,466.26 : x
  2. Step 2: Convert to fraction form
    13,753.90/18,980.26 = 7,466.26/x
  3. Step 3: Cross multiply
    13,753.90x = 18,980.26 × 7,466.26
  4. Step 4: Simplify right side
    13,753.90x = 141,711,556.03
  5. Step 5: Solve for x
    x = 141,711,556.03/13,753.90
  6. Step 6: Final answer
    x = 10,303.37

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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.