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Finding the Fourth Proportional to 10,351.49, 15,529.14 and 9,412.49

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Solution

The fourth proportional to 10,351.49, 15,529.14 and 9,412.49 is: 14,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.49 : 15,529.14 = 9,412.49 : x
  2. Step 2: Convert to fraction form
    10,351.49/15,529.14 = 9,412.49/x
  3. Step 3: Cross multiply
    10,351.49x = 15,529.14 × 9,412.49
  4. Step 4: Simplify right side
    10,351.49x = 146,167,797.31
  5. Step 5: Solve for x
    x = 146,167,797.31/10,351.49
  6. Step 6: Final answer
    x = 14,120.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.