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Finding the Fourth Proportional to 14,911.14, 22,371.88 and 7,509.57

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Solution

The fourth proportional to 14,911.14, 22,371.88 and 7,509.57 is: 11,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.14 : 22,371.88 = 7,509.57 : x
  2. Step 2: Convert to fraction form
    14,911.14/22,371.88 = 7,509.57/x
  3. Step 3: Cross multiply
    14,911.14x = 22,371.88 × 7,509.57
  4. Step 4: Simplify right side
    14,911.14x = 168,003,198.89
  5. Step 5: Solve for x
    x = 168,003,198.89/14,911.14
  6. Step 6: Final answer
    x = 11,266.96

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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.