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Finding the Fourth Proportional to 14,969.80, 22,462.80 and 6,205.60

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Solution

The fourth proportional to 14,969.80, 22,462.80 and 6,205.60 is: 9,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.80 : 22,462.80 = 6,205.60 : x
  2. Step 2: Convert to fraction form
    14,969.80/22,462.80 = 6,205.60/x
  3. Step 3: Cross multiply
    14,969.80x = 22,462.80 × 6,205.60
  4. Step 4: Simplify right side
    14,969.80x = 139,395,151.68
  5. Step 5: Solve for x
    x = 139,395,151.68/14,969.80
  6. Step 6: Final answer
    x = 9,311.76

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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.