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Finding the Fourth Proportional to 11,603.30, 16,002.24 and 9,364.46

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Solution

The fourth proportional to 11,603.30, 16,002.24 and 9,364.46 is: 12,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.30 : 16,002.24 = 9,364.46 : x
  2. Step 2: Convert to fraction form
    11,603.30/16,002.24 = 9,364.46/x
  3. Step 3: Cross multiply
    11,603.30x = 16,002.24 × 9,364.46
  4. Step 4: Simplify right side
    11,603.30x = 149,852,336.39
  5. Step 5: Solve for x
    x = 149,852,336.39/11,603.30
  6. Step 6: Final answer
    x = 12,914.63

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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.