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Finding the Fourth Proportional to 12,199.59, 18,296.24 and 4,804.11

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Solution

The fourth proportional to 12,199.59, 18,296.24 and 4,804.11 is: 7,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.59 : 18,296.24 = 4,804.11 : x
  2. Step 2: Convert to fraction form
    12,199.59/18,296.24 = 4,804.11/x
  3. Step 3: Cross multiply
    12,199.59x = 18,296.24 × 4,804.11
  4. Step 4: Simplify right side
    12,199.59x = 87,897,125.53
  5. Step 5: Solve for x
    x = 87,897,125.53/12,199.59
  6. Step 6: Final answer
    x = 7,204.92

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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.