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Finding the Fourth Proportional to 11,219.80, 16,829.70 and 8,303.80

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Solution

The fourth proportional to 11,219.80, 16,829.70 and 8,303.80 is: 12,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.80 : 16,829.70 = 8,303.80 : x
  2. Step 2: Convert to fraction form
    11,219.80/16,829.70 = 8,303.80/x
  3. Step 3: Cross multiply
    11,219.80x = 16,829.70 × 8,303.80
  4. Step 4: Simplify right side
    11,219.80x = 139,750,462.86
  5. Step 5: Solve for x
    x = 139,750,462.86/11,219.80
  6. Step 6: Final answer
    x = 12,455.70

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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.