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Finding the Fourth Proportional to 11,201.94, 15,447.18 and 7,423.74

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Solution

The fourth proportional to 11,201.94, 15,447.18 and 7,423.74 is: 10,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.94 : 15,447.18 = 7,423.74 : x
  2. Step 2: Convert to fraction form
    11,201.94/15,447.18 = 7,423.74/x
  3. Step 3: Cross multiply
    11,201.94x = 15,447.18 × 7,423.74
  4. Step 4: Simplify right side
    11,201.94x = 114,675,848.05
  5. Step 5: Solve for x
    x = 114,675,848.05/11,201.94
  6. Step 6: Final answer
    x = 10,237.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.