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Finding the Fourth Proportional to 16,195.40, 24,293.10 and 7,447.40

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Solution

The fourth proportional to 16,195.40, 24,293.10 and 7,447.40 is: 11,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.40 : 24,293.10 = 7,447.40 : x
  2. Step 2: Convert to fraction form
    16,195.40/24,293.10 = 7,447.40/x
  3. Step 3: Cross multiply
    16,195.40x = 24,293.10 × 7,447.40
  4. Step 4: Simplify right side
    16,195.40x = 180,920,432.94
  5. Step 5: Solve for x
    x = 180,920,432.94/16,195.40
  6. Step 6: Final answer
    x = 11,171.10

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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.