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Finding the Fourth Proportional to 13,700.75, 18,906.71 and 7,732.26

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Solution

The fourth proportional to 13,700.75, 18,906.71 and 7,732.26 is: 10,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.75 : 18,906.71 = 7,732.26 : x
  2. Step 2: Convert to fraction form
    13,700.75/18,906.71 = 7,732.26/x
  3. Step 3: Cross multiply
    13,700.75x = 18,906.71 × 7,732.26
  4. Step 4: Simplify right side
    13,700.75x = 146,191,597.46
  5. Step 5: Solve for x
    x = 146,191,597.46/13,700.75
  6. Step 6: Final answer
    x = 10,670.34

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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.