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Finding the Fourth Proportional to 9,581.04, 14,371.72 and 3,424.88

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Solution

The fourth proportional to 9,581.04, 14,371.72 and 3,424.88 is: 5,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.04 : 14,371.72 = 3,424.88 : x
  2. Step 2: Convert to fraction form
    9,581.04/14,371.72 = 3,424.88/x
  3. Step 3: Cross multiply
    9,581.04x = 14,371.72 × 3,424.88
  4. Step 4: Simplify right side
    9,581.04x = 49,221,416.39
  5. Step 5: Solve for x
    x = 49,221,416.39/9,581.04
  6. Step 6: Final answer
    x = 5,137.38

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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.