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Finding the Fourth Proportional to 16,483.53, 22,751.34 and 9,414.06

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Solution

The fourth proportional to 16,483.53, 22,751.34 and 9,414.06 is: 12,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.53 : 22,751.34 = 9,414.06 : x
  2. Step 2: Convert to fraction form
    16,483.53/22,751.34 = 9,414.06/x
  3. Step 3: Cross multiply
    16,483.53x = 22,751.34 × 9,414.06
  4. Step 4: Simplify right side
    16,483.53x = 214,182,479.84
  5. Step 5: Solve for x
    x = 214,182,479.84/16,483.53
  6. Step 6: Final answer
    x = 12,993.73

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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.