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Finding the Fourth Proportional to 10,157.97, 13,988.94 and 9,525.11

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Solution

The fourth proportional to 10,157.97, 13,988.94 and 9,525.11 is: 13,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.97 : 13,988.94 = 9,525.11 : x
  2. Step 2: Convert to fraction form
    10,157.97/13,988.94 = 9,525.11/x
  3. Step 3: Cross multiply
    10,157.97x = 13,988.94 × 9,525.11
  4. Step 4: Simplify right side
    10,157.97x = 133,246,086.62
  5. Step 5: Solve for x
    x = 133,246,086.62/10,157.97
  6. Step 6: Final answer
    x = 13,117.39

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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.