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Finding the Fourth Proportional to 11,603.80, 16,002.93 and 9,364.96

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Solution

The fourth proportional to 11,603.80, 16,002.93 and 9,364.96 is: 12,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.80 : 16,002.93 = 9,364.96 : x
  2. Step 2: Convert to fraction form
    11,603.80/16,002.93 = 9,364.96/x
  3. Step 3: Cross multiply
    11,603.80x = 16,002.93 × 9,364.96
  4. Step 4: Simplify right side
    11,603.80x = 149,866,799.33
  5. Step 5: Solve for x
    x = 149,866,799.33/11,603.80
  6. Step 6: Final answer
    x = 12,915.32

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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.