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Finding the Fourth Proportional to 14,993.76, 22,491 and 5,132.97

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Solution

The fourth proportional to 14,993.76, 22,491 and 5,132.97 is: 7,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993.76 : 22,491 = 5,132.97 : x
  2. Step 2: Convert to fraction form
    14,993.76/22,491 = 5,132.97/x
  3. Step 3: Cross multiply
    14,993.76x = 22,491 × 5,132.97
  4. Step 4: Simplify right side
    14,993.76x = 115,445,628.27
  5. Step 5: Solve for x
    x = 115,445,628.27/14,993.76
  6. Step 6: Final answer
    x = 7,699.58

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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.