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Finding the Fourth Proportional to 14,913.80, 22,378.80 and 6,149.60

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Solution

The fourth proportional to 14,913.80, 22,378.80 and 6,149.60 is: 9,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913.80 : 22,378.80 = 6,149.60 : x
  2. Step 2: Convert to fraction form
    14,913.80/22,378.80 = 6,149.60/x
  3. Step 3: Cross multiply
    14,913.80x = 22,378.80 × 6,149.60
  4. Step 4: Simplify right side
    14,913.80x = 137,620,668.48
  5. Step 5: Solve for x
    x = 137,620,668.48/14,913.80
  6. Step 6: Final answer
    x = 9,227.74

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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.